Question

find the mean proportional between 1/36 and 1/9

Answer 1

Proportional mean = √(1/9 × 1/36) = 1/3 × 1/6 = 1/18

1/18 is the proportional mean

Answer 2

The mean proportional between 1/36 and 1/9 would be 1/18 .

The mean proportional y between two numbers x and z is defined as number which satisfies property such that

x/y = y/ z

Given x and z are 1/36 and 1/9 respectively

Substituting in the above formula:

(1/36)/ y = y / (1/9)

(1/36)*(1/9) = y²

y = √(1/36)*(1/9)

y = 1/6 *1/3

y = 1/18