Share

# Find The Third Proportional to A2 – B2 And a + B. - Mathematics

Course

#### Question

Find the third proportional to a2 – b2 and a + b.

#### Solution

Let the third proportional to a^2 - b^2 and a + b be  n

=> a^2 - b^2, a + b and n are in continued proportion

=> a^2 - b^2 :  a + b =  a _ b : n

=> n = (a + bh)^2/(a^2 - b^2) = (a + b)^2/((a + b)(a - b)) = (a + b)/(a - b)

Is there an error in this question or solution?