Proportionality Factor for Geometric Increase Method Solution

STEP 0: Pre-Calculation Summary
Formula Used
Proportionality Factor = (log10(Population at Mid Year Census)-log10(Population at Earlier Census))/(Mid-Year Census Date-Earlier Census Date)
KG = (log10(PM)-log10(PE))/(TM-TE)
This formula uses 1 Functions, 5 Variables
Functions Used
log10 - The common logarithm, also known as the base-10 logarithm or the decimal logarithm, is a mathematical function that is the inverse of the exponential function., log10(Number)
Variables Used
Proportionality Factor - Proportionality Factor is defined as rate of change of population.
Population at Mid Year Census - Population at Mid Year Census is the population at the mid year census date.
Population at Earlier Census - Population at Earlier Census is the population at the earlier census date.
Mid-Year Census Date - Mid-Year Census Date is the date at which population is noted.
Earlier Census Date - Earlier Census Date is the date at which the population is noted.
STEP 1: Convert Input(s) to Base Unit
Population at Mid Year Census: 40 --> No Conversion Required
Population at Earlier Census: 22 --> No Conversion Required
Mid-Year Census Date: 29 --> No Conversion Required
Earlier Census Date: 20 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
KG = (log10(PM)-log10(PE))/(TM-TE) --> (log10(40)-log10(22))/(29-20)
Evaluating ... ...
KG = 0.0288485900561951
STEP 3: Convert Result to Output's Unit
0.0288485900561951 --> No Conversion Required
FINAL ANSWER
0.0288485900561951 0.028849 <-- Proportionality Factor
(Calculation completed in 00.004 seconds)

Credits

Created by Suraj Kumar
Birsa Institute of Technology (BIT), Sindri
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Meerut Institute of Engineering and Technology (MIET), Meerut
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5 Inter Censal Period Calculators

Proportionality Factor for Geometric Increase Method
Go Proportionality Factor = (log10(Population at Mid Year Census)-log10(Population at Earlier Census))/(Mid-Year Census Date-Earlier Census Date)
Mid Year Census Date for Geometric Increase Method
Go Mid-Year Census Date = Earlier Census Date+((log10(Population at Mid Year Census)-log10(Population at Earlier Census))/Proportionality Factor)
Earlier Census Date for Geometric Increase Method
Go Earlier Census Date = Mid-Year Census Date-((log10(Population at Mid Year Census)-log10(Population at Earlier Census))/Proportionality Factor)
Population at Earlier Census for Geometric Increase Method
Go Population at Earlier Census = exp(log10(Population at Mid Year Census)-Proportionality Factor*(Mid-Year Census Date-Earlier Census Date))
Population at Mid Year for Geometric Increase Method
Go Population at Mid Year Census = exp(log10(Population at Earlier Census)+Proportionality Factor*(Mid-Year Census Date-Earlier Census Date))

Proportionality Factor for Geometric Increase Method Formula

Proportionality Factor = (log10(Population at Mid Year Census)-log10(Population at Earlier Census))/(Mid-Year Census Date-Earlier Census Date)
KG = (log10(PM)-log10(PE))/(TM-TE)

What is Geometric Increase Method?

The Geometric Increase Method is the population forecasting method in which the percentage increase in population from decade to decade is assumed to remain constant.It is also known as the logarithmic growth method or exponential growth method.

How to Calculate Proportionality Factor for Geometric Increase Method?

Proportionality Factor for Geometric Increase Method calculator uses Proportionality Factor = (log10(Population at Mid Year Census)-log10(Population at Earlier Census))/(Mid-Year Census Date-Earlier Census Date) to calculate the Proportionality Factor, The Proportionality Factor for Geometric Increase Method is defined as the proportionality factor when we have prior information of other parameters used. Proportionality Factor is denoted by KG symbol.

How to calculate Proportionality Factor for Geometric Increase Method using this online calculator? To use this online calculator for Proportionality Factor for Geometric Increase Method, enter Population at Mid Year Census (PM), Population at Earlier Census (PE), Mid-Year Census Date (TM) & Earlier Census Date (TE) and hit the calculate button. Here is how the Proportionality Factor for Geometric Increase Method calculation can be explained with given input values -> 0.028849 = (log10(40)-log10(22))/(29-20).

FAQ

What is Proportionality Factor for Geometric Increase Method?
The Proportionality Factor for Geometric Increase Method is defined as the proportionality factor when we have prior information of other parameters used and is represented as KG = (log10(PM)-log10(PE))/(TM-TE) or Proportionality Factor = (log10(Population at Mid Year Census)-log10(Population at Earlier Census))/(Mid-Year Census Date-Earlier Census Date). Population at Mid Year Census is the population at the mid year census date, Population at Earlier Census is the population at the earlier census date, Mid-Year Census Date is the date at which population is noted & Earlier Census Date is the date at which the population is noted.
How to calculate Proportionality Factor for Geometric Increase Method?
The Proportionality Factor for Geometric Increase Method is defined as the proportionality factor when we have prior information of other parameters used is calculated using Proportionality Factor = (log10(Population at Mid Year Census)-log10(Population at Earlier Census))/(Mid-Year Census Date-Earlier Census Date). To calculate Proportionality Factor for Geometric Increase Method, you need Population at Mid Year Census (PM), Population at Earlier Census (PE), Mid-Year Census Date (TM) & Earlier Census Date (TE). With our tool, you need to enter the respective value for Population at Mid Year Census, Population at Earlier Census, Mid-Year Census Date & Earlier Census Date and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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