Problem on fractions

[burgess]

Help me to solve algebra 2 homework

What is the ratio of third proportional to 12 and 30 and the mean proportional between 9 and 25?

Thanks

[Guest]

The mean proportional between 9 and 25 is [tex]\sqrt{9.25}=3.5=15[/tex]

The third proportional to 12 and 30 is the ratio [tex]\frac{12^2}{30 }[/tex]
(It`s known by the definition: A third proportional is equal to the square of the equal terms, divided by the unequal term. [tex]\frac{tp}{12 } =\frac{12}{30 }[/tex])

As we know the parts we may compose the ratio we`re looking for.
Answer
[tex]\frac{12^2}{30 }:15=\frac{12^2}{30.15 }=\frac{144}{450 }=\frac{6.2.4.3}{6.5.3.5}=[/tex]
[tex]=\frac{\cancel{6}.2.4.\cancel{3}}{\cancel{6}.5.\cancel{3}.5}=\frac{8}{25 }[/tex]

[burgess]

The mean proportional between 9 and 25 is [tex]\sqrt{9.25}=3.5=15[/tex]

The third proportional to 12 and 30 is the ratio [tex]\frac{12^2}{30 }[/tex]
(It`s known by the definition: A third proportional is equal to the square of the equal terms, divided by the unequal term. [tex]\frac{tp}{12 } =\frac{12}{30 }[/tex])

As we know the parts we may compose the ratio we`re looking for.
Answer
[tex]\frac{12^2}{30 }:15=\frac{12^2}{30.15 }=\frac{144}{450 }=\frac{6.2.4.3}{6.5.3.5}=[/tex]
[tex]=\frac{\cancel{6}.2.4.\cancel{3}}{\cancel{6}.5.\cancel{3}.5}=\frac{8}{25 }[/tex]

Thanks for your reply

[Haider05]

what is 4 x 7/8? ????



Ali

[Guest]

7/2 .....3 and a half