CMA Foundation · Fundamentals of Business Mathematics and Statistics · Ratios, Variations and Proportions
If a:b = b:c = 2:3 (a continued proportion), and a = 16, what is the value of c?
The value of c is 36. From a:b = 2:3 with a = 16, b is 24. Then b:c = 2:3 gives c = 24 × 3 divided by 2, which equals 36. So 16, 24, 36 are in continued proportion with common ratio 2:3.
- A24
- B32
- C36Correct
- D40
Explanation
Since a:b = 2:3 and a = 16, b = 24. Then b:c = 2:3 gives c = 24 × 3/2 = 36. Check: 16:24:36 divides by 8 to 2:3:4.5, with each consecutive ratio 2:3. Choosing 24 mistakes b for c.
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