Question

find the third proportion 6,9​

Answer 1

Step-by-step explanation:

The third proportional be x.

6,9 and x are in continued proportion.

$\frac{6}{9} = \frac{9}{x}$

$6x = 81$

$x = \frac{81}{6}$

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

Answer 2

Given,

6 and 9 are in proportion. Then the third number should be in continued proportion.

Let the third number be $x$.

So, 6,9 and $x$ are in continued proportion.

We can define continued proportion as,

$\frac{6}{9} = \frac{9}{x}$

$6x = 81$

$x = \frac{81}{6}$

we get $x$ = $\frac{27}{2}$

Hence the third proportion is  $\frac{27}{2}$.

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