- 65
- 46
- 56
- 86

Option 3 : 56

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AFCAT 2/2021 All India Mock Test

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According to the given question

**Given:**

Mean proportion of a and 14 is 28 then find the value of a

**Formula used/Concept used:**

If a, b and c are in continue proportion then it can be write as

∴ a ∶ b ∶ ∶ b ∶ c

⇒ b^{2} = ac

**Calculation:**

Mean proportion of a and 14 is 28 then find the value of a

∴ a ∶ 28 ∶ ∶ 28 ∶ 14

⇒ \(\frac{a}{{28}} = \frac{{28}}{{14}}\)

⇒ a = 56

So, the value of a is 56

Hence, option (3) is correct

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