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Finding the Third Proportional to 42,417 and 63,721

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Solution

The third proportional to 42,417 and 63,721 is: 95,724.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,417 : 63,721 = 63,721 : x
  2. Step 2: Convert to fraction form
    42,417/63,721 = 63,721/x
  3. Step 3: Cross multiply
    42,417x = 63,721 × 63,721
  4. Step 4: Simplify right side
    42,417x = 4,060,365,841
  5. Step 5: Solve for x
    x = 4,060,365,841/42,417
  6. Step 6: Final answer
    x = 95,724.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.