Question

find the third proportion​

Answer 1

Answer:

Every Student has to

compulsorily undertake any project on the following

follow karlo dear friends

Answer 2

Step-by-step explanation:

Let the third proportional be x.

So, (a-b) , (a^2 - b^2) and x are in continued proportion.

Therefore,

$\frac{a - b}{ {a}^{2} - {b}^{2} } = \frac{ {a}^{2} - {b}^{2} }{x}$

$= > x(a - b) = ({a}^{2} - {b}^{2} )( {a}^{2} - {b}^{2} )$

$= > x = \frac{(a + b)(a - b)(a + b)(a - b )}{a - b}$

$= > x = (a + b)(a - b)(a + b)$

$= > x = ( {a + b)}^{2} (a - b)$

The required third proportional is (a+b)^2(a-b).