Question : Three numbers, a, b, and c are said to be in continued proportion if a : b :: b : c. What number must be added to each of the numbers 1, 7 and 25 so that the resulting sums, in that order, maybe in continued proportion?
Option 1: 2
Option 2: 4
Option 3: 6
Option 4: 5
Answer (1)
14th Jan, 2024
Correct Answer: 2
Solution :
Given: Three numbers, a, b, and c are said to be in continued proportion if a : b :: b : c.
When there is a continued proportion, the ratio of the first to the second is the same as the ratio of the second to the third.
Let the number to be added be
According to the question,
⇒
⇒
⇒
⇒
Hence, the correct answer is 2.
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