Mathematics
Which of the following are in continued proportion?
- 4, 8, 12
- 5, 15, 25
- 6, 36, 216
- 9, 12, 18
Ratio Proportion
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Answer
Let us consider the given numbers as: a, b, c
Check each option using b2 = a x c:
82 = 64, 4 × 12 = 48 (No)
152 = 225, 5 × 25 = 125 (No)
362 = 1296, 6 × 216 = 1296 (Yes)
122 = 144, 9 × 18 = 162 (No)
Hence, option 3 is the correct option.
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Related Questions
The third proportional to 9 and 18 is
- 21
- 24
- 27
- 36
The mean proportional between 5 and 45 is
- 10
- 12
- 15
- 25
Fill in the blanks :
(i) Ratio has …………… unit.
(ii) To convert a ratio a : b in its simplest form, we divide a and b by …………… of a and b.
(iii) If a : b : : b : c, then a, b, c are said to be in …………… proportion.
(iv) If a, b, c are in continued proportion, then c is called the …………… proportional to a and b.
(v) In a proportion, the first and fourth terms are called the …………… .
Write true (T) or false (F) :
(i) If a, b, c, d are in proportion, then ac = bd.
(ii) If a : b : : c : d, then a, b, c, d are said to be in absolute proportion.
(iii) If a, b, c, are in continued proportion, then the mean proportion b = .
(iv) If x is the third proportional to a, b, then a : b : : b : x.
(v) 1, 2, 3, 4, are in proportion.