My Math Forum Population Growth Rate Formula

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 January 25th, 2010, 02:32 AM #1 Member   Joined: May 2009 Posts: 90 Thanks: 0 Population Growth Rate Formula Hi, I know how to find the population growth if a growth rate is given, but what's the formula to find the growth rate if only number of years and estimated population given....ie population now = 23600 and after 53 years will exceed 35000? Thanks...Mark
 January 25th, 2010, 03:30 AM #2 Global Moderator   Joined: Dec 2006 Posts: 20,942 Thanks: 2210 If the population is multiplied by a constant factor each year (which isn't a particularly realistic assumption), that factor would be calculated for your example as (35000/23600)^(1/53), i.e., 1.0075 to 5 significant figures. If the value 35000 is changed to 36000 and to 40000, the corrresponding growth factors are approximately 1.008 and 1.01 respectively. Thus, a small change in the growth factor makes a considerable difference to overall growth over a prolonged period of time. To convert the growth factor to an annual percentage growth rate, subtract 1 and then multiply by 100%. For 1.0075, this gives 0.75%, and for 1.01 gives 1%.
 January 25th, 2010, 04:35 AM #3 Member   Joined: May 2009 Posts: 90 Thanks: 0 Re: Population Growth Rate Formula Check please (35000/23600)^(1/53) 1.007463589 - 1 = 0.007463589 x 100% = 0.746358928 = 0.75% growth percentage rate Many thanks...Mark
 January 25th, 2010, 10:04 AM #4 Global Moderator   Joined: Dec 2006 Posts: 20,942 Thanks: 2210 That needs an "=" symbol after the initial expression, a "%" symbol after "0.746358928", and the words "growth" and "percentage" interchanged.

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