Question

the missing fraction in each of the following proportions:
1/3:1/2::-_ :1​

Answer 1

Answer:

According to me it is 2/3 by unitary method

Answer 2

Answer:

Step-by-step explanation:

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.

proportion

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 theorem of the alternate proportion.

3.   What is the theorem of the same multiple?

 

 "If we multiply two numbers by the same number,  then the products will have the same ratio

as the numbers we multiplied."