Question

1. the mean proportional between 9 and 16​

Answer 1

Answer:

The mean proportion between 9 and 16 is 12

Step-by-step explanation:

Let the mean proportion between 9 and 16 is x

So,

9 : x : : 16

9 /x = x /16

By doing cross multiplication,

x × x = 16 × 9

   $x^{2}$  = 144

    x = $\sqrt[n]{144}$

     x = 12

Answer 2

Answer:

The mean proportion between 9 and 16  is 12.

Step-by-step explanation:

If a, b, and c are in continue proportion, then a/b = b/c

$b^2 = a \times c$

and b is the mean proportion of a and c.

Here a= 9 and c= 16, find b

$b^2 = a \times c\\= 9 \times 16\\b^2 = 144\\b=\sqrt{144} \\b = 12$

So, the mean proportion between 9 and 16  is 12.