Question
Download Solution PDFFind the third proportional of (3 + √2) and 2√7.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
First term (a) = (3 + √2)
Second term (b) = 2√7
Formula used:
If a, b, and c are in continued proportion, then b2 = a × c
Calculation:
Let the third proportional be c.
⇒ 4 × 7 = (3 + √2) × c
⇒ 28 = (3 + √2) × c
⇒ c =
Rationalize the denominator:
⇒ c =
⇒ c =
⇒ c =
⇒ c = 4(3 - √2)
∴ The correct answer is option (4).
Last updated on Jul 8, 2025
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