Question

( 2×4=8) The mean proportion between 2/3 and 8/125​

Answer 1

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

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