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Finding the Third Proportional to 145,712 and 320,008

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Solution

The third proportional to 145,712 and 320,008 is: 702,791.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,712 : 320,008 = 320,008 : x
  2. Step 2: Convert to fraction form
    145,712/320,008 = 320,008/x
  3. Step 3: Cross multiply
    145,712x = 320,008 × 320,008
  4. Step 4: Simplify right side
    145,712x = 102,405,120,064
  5. Step 5: Solve for x
    x = 102,405,120,064/145,712
  6. Step 6: Final answer
    x = 702,791.26

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.