Question

Q.6. Find the mean proportion in the following: i) 8, 16 ii) 1.25, 0.45

Answer 1

Mean proportion of two numbers means square root of product of two numbers.

two methods to solve this

let the mean proportion be 'm'

m2 =8*16

m2 = 128

m = √128

m = √8*8*2

m = 8√2

second

Let the mean proportion be x...

therefore, 1.25 : x = x : 0.45

x^2 = 1.25 × 0.45

on solving this, u'll get :

=> \bold{x = 0.75}x=0.75

So, the mean proportion between 1.25 and 0.45 is 0.75....