Question

Find the third proportional of 16 and 24

Answer 1

AnswEr:

Third Proportional is 36.

$\rule{150}3$

"The third Proportional to a and b is defined as the number x such that x is the number in Geometric progression".

Here,

a = 16 and b = 24 and c is to be found.

To Find the Third Proportional

Let us consider that Third Proportional be x.

$:\implies\sf\; 16 : 24 = 24: x$

$:\implies\sf\; 24 \times\; \dfrac{24}{16} = x$

$:\implies\large{\underline{\boxed{\sf{\red{ x = 36}}}}}$

$\bold{\underline{\sf{\pink{The \;Third\; Proportional \;is\; 36.}}}}$

$\rule{150}3$

Answer 2

$\huge{\fbox{\fbox{\mathcal{\red{Questions:-} }}}}$

• Find the third proportional of 16 and 24

$\huge{\fbox{\fbox{\mathcal{\red{Solution:-} }}}}$

Here ,

First proportional a = 16

Second proportional b = 24

Then, find out

Third proportional c = ?

Let the third proportional c be x

Then according to questions :-

a : b : : b : c

putting the value,

$16 : 24 :: 24 : x \\ \\ \sf\implies \frac{16}{24} = \frac{24}{x} \\ \\ \sf\implies x = \frac{24 × 24}{16} \\ \\ \sf\implies x = 36 \\ \\ \sf\implies {\boxed{\red{x = 36}}}$

Therefore,

The third proportional 'c' is 36.