Question

2. The first second and fourth terms of a proportion are 6, 8 and 25 respectively. Find its third term. ​

Answer 1

Answer:

Step-by-step explanation:

If a : b = c : d are in proportion then a/b = c/d

i.e ad = bc

Product of extremes = Product of means

6 : 8 : x : 25

8x = 150

x = 150 ÷ 8

x = 75/4

Answer 2

★ Given :-

• First Term = 6
• Second Term = 8
• Fourth Term = 25

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★ To Find :-

• Third Term = ?

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★ Solution :-

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∓ Here, it is given that, First , Second & Fourth terms of the Proportion are 6 , 8 & 25 . And, we have to find the Third Term .

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• Now, let's solve step by step -----

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◆ Let, the Third Term be "x" .

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• ∴ According to the question :-

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$\dashrightarrow\sf{6 \: : \: 8 \: : : \: x \: : \: 25} \\ \\ \dashrightarrow \: \sf{ \frac{6}{8} = \frac{x}{25} } \\ \\ \because \: \sf \pmb{By \: doing \: Cross \: Multiplication :-} \\ \\ \dashrightarrow \: \sf{x \times 8 = 6 \times 25} \\ \\ \dashrightarrow \: \sf{x = \frac{6 \times 25}{8} } \\ \\ \dashrightarrow \: \sf{x = \frac{150}{8} } \\ \\ \dashrightarrow \: \sf{x = \frac{75}{4}}$

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★ Hence :-

• Third Term = $\large\sf{\frac{75}{4}}$

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