2,5,10,20 are in proportion
Answers
Answer:
Example 1. 1 : 2 = 5 : 10.
(1 is half of 2; 5 is half of 10.)
Alternately:
1 : 5 = 2 : 10
(1 is a fifth of 5; 2 is a fifth of 10.)
Example 2.
Directly :
12 : 36 = 2 : 6. (Why?)
Alternately:
12 : 2 = 36 = 6. (Why?)
Example 3. Complete this proportion:
5 : 7 = 20 : ?
If we look directly at the ratio of 5 to 7, it is not obvious. But if we look alternately, we see that 5 is a fourth of 20:
5 : 7 = 20 : 28.
And 7 is a fourth of 28.
If we cannot solve a proportion directly, then we can solve it alternately.
Example 4. The theorem of the same multiple. Complete this proportion:
4 : 5 = 12 : ?
Solution. 4 is a third of 12 -- or we could say that 4 has been multiplied by 3. Therefore, 5 also must be multiplied by 3:
4 : 5 = 12 : 15.

As 4 is to 5, so three 4's are to three 5's.
In fact, as 4 is to 5, so any number of 4's are to an equal number of 5's.
That is called the theorem of the same multiple. It follows directly from the
Answer:
2: 5 : : 10 : 30
5×10=
5 ^2 = 5×10
= 5^2=50=10×5
=×=5
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