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Finding the Third Proportional to 73,221 and 109,542

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Solution

The third proportional to 73,221 and 109,542 is: 163,879.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,221 : 109,542 = 109,542 : x
  2. Step 2: Convert to fraction form
    73,221/109,542 = 109,542/x
  3. Step 3: Cross multiply
    73,221x = 109,542 × 109,542
  4. Step 4: Simplify right side
    73,221x = 11,999,449,764
  5. Step 5: Solve for x
    x = 11,999,449,764/73,221
  6. Step 6: Final answer
    x = 163,879.89

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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.