Question

Find the mean propotion of the following a)2 /8 b)3 /27​

Answer 1

Step-by-step explanation:

We will learn how to find the mean and third proportional of the set of three numbers.

If x, y and z are in continued proportion then y is called the mean proportional (or geometric mean) of x and z.

If y is the mean proportional of x and z, y^2 = xz, i.e., y = +

√

xz

.

For example, the mean proportion of 4 and 16 = +

√

4×16

= +

√

64

= 8

If x, y and z are in continued proportion then z is called the third proportional.

For example, the third proportional of 4, 8 is 16.

Answer 2

1/6

Step-by-step explanation:

2/8*3/27

1/4*1/9

1/36

$\sqrt{1 \div 36}$

1/6 Ans