#### Question

Find the third proportion to the following :

(x - y) and m (x - y)

#### Solution

Let z be lhe third proportion

(x - y) : m (x - y) : : m (x - y) : z

⇒ (x -y) x z - m(x - y) x m (x - y)

⇒ (x - y) z = m^{2} (x - y)^{2}

⇒ z = m^{2} (x - y)

The third proportion is m^{2} (x - y) .

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Solution Find the Third Proportion to the Following : Concept: Proportions.