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What is proportional relationship

 Oct 2, 2014

Best Answer 

 #1
avatar+128407 
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Here's a couple of examples......

Suppose we have the numbers 1,2,5  and 10....a proportional relationship using these numbers is....

1 / 2  =  5 /10  ....  we have something called "cross- product equality" in a proportion.....note that, taking the "cross-products"  .....  1 x 10   = 2 x 5  .......this relationship always holds in a proportion  !!!

We can also have a proportion just using three numbers, say, 1, 2 and 4

1/2 = 2 /4     and again......the cross-products are equal  

Lastly, one of the most famous proportions in math deals with something called the Golden Ratio...it deals wth the method of dividing a line such that.....

[length of the longer segment] / [length of the shorter segment] = [total length of the line] / [length of the longer segment]  .......when this is done correctly, the fractions on both sides equal a number known as Phi....and the reciprocals of the fractions equal a number known as "little Phi" or just "phi"   !!!

Hope that helps.....

 

 Oct 2, 2014
 #1
avatar+128407 
+5
Best Answer

Here's a couple of examples......

Suppose we have the numbers 1,2,5  and 10....a proportional relationship using these numbers is....

1 / 2  =  5 /10  ....  we have something called "cross- product equality" in a proportion.....note that, taking the "cross-products"  .....  1 x 10   = 2 x 5  .......this relationship always holds in a proportion  !!!

We can also have a proportion just using three numbers, say, 1, 2 and 4

1/2 = 2 /4     and again......the cross-products are equal  

Lastly, one of the most famous proportions in math deals with something called the Golden Ratio...it deals wth the method of dividing a line such that.....

[length of the longer segment] / [length of the shorter segment] = [total length of the line] / [length of the longer segment]  .......when this is done correctly, the fractions on both sides equal a number known as Phi....and the reciprocals of the fractions equal a number known as "little Phi" or just "phi"   !!!

Hope that helps.....

 

CPhill Oct 2, 2014

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