document.write( "Question 701339: find three geometric means between 8 and 40.5 \n" ); document.write( "

Algebra.Com's Answer #432373 by MathLover1(20850) $\"\"$ $\"About$

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\n" ); document.write( "\n" ); document.write( "three geometric means between $\"8\"$ and $\"40.5\"$ :\r
\n" ); document.write( "\n" ); document.write( " $\"40.5+=+8r%5E4\"$
\n" ); document.write( " $\"40.5%2F8+=+r%5E4\"$
\n" ); document.write( " $\"5.0625+=+r%5E4\"$
\n" ); document.write( " $\"r=root%284%2C5.0625%29\"$
\n" ); document.write( " $\"r=1.5+\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"r=1.5\"$ is the ratio, so you multiply $\"8\"$ by $\"1.5\"$ (which equals $\"12\"$ ), giving you the $\"first\"$ of the three geometric means, multiply $\"12\"$ by $\"1.5\"$ (which equals $\"18\"$ ) to get the $\"second\"$ of the three geometric means, and multiply $\"18\"$ by $\"1.5\"$ (which equals $\"27\"$ ) to get the $\"third\"$ of the three geometric means\r
\n" ); document.write( "\n" ); document.write( "Final answer: $\"12\"$ , $\"18\"$ , $\"27\"$ \r
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\n" ); document.write( "\n" ); document.write( "Multiplying $\"27\"$ by $\"1.5\"$ gives you $\"40.5\"$ , so it is correct.\r
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