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Finding the Third Proportional to 100,221 and 217,542

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Solution

The third proportional to 100,221 and 217,542 is: 472,201.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,221 : 217,542 = 217,542 : x
  2. Step 2: Convert to fraction form
    100,221/217,542 = 217,542/x
  3. Step 3: Cross multiply
    100,221x = 217,542 × 217,542
  4. Step 4: Simplify right side
    100,221x = 47,324,521,764
  5. Step 5: Solve for x
    x = 47,324,521,764/100,221
  6. Step 6: Final answer
    x = 472,201.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.