Question

Third proportional of 9 and 25

Answer 1

Answer:

Step-by-step explanation:

Let the third proportional to 12 and 30 be x.

Then, 12 : 30 :: 30 : x

⇔ 12x = 30 × 30

⇔x=

12

(30×30)

​

=75

∴ Third proportional to 12 and 30 = 75.

Mean proportional between 9 and 25=

9×25

​

=15

∴ Required ratio = 75 : 15 = 5 : 1.

Answer 2

Third proportional of 9 and 25 is 625/9

Given :

The numbers 9 and 25

To find :

Third proportional of 9 and 25

Solution :

Step 1 of 2 :

Form the equation

Let x be the third proportional of 9 and 25

By the given condition

9 : 25 = 25 : x

Step 2 of 2 :

Find the required number

9 : 25 = 25 : x

$\displaystyle \sf{ \implies \frac{9}{25} = \frac{25}{x} }$

$\displaystyle \sf{ \implies x = \frac{25 \times 25}{9} }$

$\displaystyle \sf{ \implies x = \frac{625}{9} }$

Third proportional of 9 and 25 is 625/9

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