Question

find the mean proportion between 2/3 and 8/27​

Answer 1

Step-by-step explanation:

The mean proportional of 3 and 27 is

3×27

=

81

=9.

Answer 2

Step-by-step explanation:

Let the mean proportion be x,

Therefore the required proportional is

2/3 :x :: x : 8/27

We know that in proportion,

product of 1st and 4th = product of 2nd and 3rd

Therefore the equation formed is

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

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

And after further calculations we will get

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