Question

Which of the following numbers are in continued proportion :
(i) 3, 6 and 15
(ii) 15, 45 and 48
(ü) 6, 12 and 24
(iv) 12, 18 and 27
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Answer 1

Answer:

(i) 3, 6, and 15 are not in proportion.

(ii) 15, 45, and 48 are not in proportion.

(iii) 6, 12, and 24 are in proportion.

(iv) 12, 18, and 27 are in proportion.

Step-by-step explanation:

a, b and c are said to be in proportion when $b^2 = a . c$

(i) $6^2 = 36$, but 3 . 15 = 45   ∴ $6^2 \neq 3 . 15$   ∴ 3, 6, and 15 are not in proportion.

(ii) $(45)^2 = 2,025$, but 15 . 48 = 720  

∴ $45^2 \neq 15 . 48$   ∴ 15, 45, and 48 are not in proportion.

(iii) $(12)^2 = 144$, and 6 . 24 = 144  

∴ $12^2 = 6 . 24$   ∴ 6, 12, and 24 are in proportion.

(iv) $(18)^2 = 324$, and 12 . 27 = 324  

∴ $18^2 = 12 . 27$   ∴ 12, 18, and 27 are in proportion.