Question

Find mean proportion between 2/3 and 8/27​

Answer 1

Step-by-step explanation:

Let the mean proportional between 2/3 and 8/27 be x.

$\frac{ \frac{2}{3} }{x} = \frac{x}{ \frac{8}{27} }$

$= > x \times x = \frac{8}{27} \times \frac{2}{3}$

$= > {x}^{2} = \frac{16}{81}$

$= > x = \sqrt{ \frac{16}{81} }$

$= > x = \frac{4}{9}$

The required mean proportional is 4/9.