Question

1. If 3 quantities a, b and c are related as a : b : : b : c, then a, b and c are in

a) third proportional

b) fourth proportional

c) mean proportional

d) continued proportional​

Answer 1

Step-by-step explanation:

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Continued Proportion

Definition of Continued Proportion:

Three quantities are said to be in continued proportion; if the ratio between the first and the second is equal to the ratio between the second and the third.

Suppose, if we have three qualities such that the ratio of first to second is equal to the ratio of second to third, we say that the three qualities are in continued proportion. The middle term is called the mean proportional between the first the third terms.

i.e. a, b and c are in continued proportion, if a : b = b : c

The second quantity is called the mean proportional between the first and the third

i.e. in a : b = b : c; b is the mean proportional between a and c.

The third quantity is called the third proportional to the first and the second

i.e. in a : b = b : c; c is the third proportional to a and b.

Answer 2

If 3 quantities a, b and c are related as a : b : : b : c, then a, b and c are in continued proportion.

• A continued proportion is one in which each ratio's result is the precursor to the one after it (for example, 4:8=8:16=16:32).

• If the ratio between the first and second is equal to the ratio between the second and third, three quantities are said to be in continuing proportion.
• When the ratio of the first to the second quality is the same as the ratio of the second to the third quality, we say that the three characteristics are in continuing proportion. The median proportionate between the first and third phrases is the name given to the middle term.

• Consider the numbers 6, 12, and 24 as an example. Thus, the ratio of 6, 12, and 24 continues. The mean proportional is represented by the second number, 12; the third number, 24, is the third proportional.

Hence, the correct answer is continued proportion.

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