Question

1. Prove that 48 is the mean proportional between 36 and 64.​

Answer 1

Let,

The mean proportion be X

•°• 36 : X = X : 64

=>36/X = X/64

=>X ^2 = 36 × 64

=>X ^2 = (6)^2 × (8)^2

=> X= 6 × 8

=> X = 48

So, the mean proportion between 36 and 64 is 48.