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Finding the Third Proportional to 38,704 and 78,472

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Solution

The third proportional to 38,704 and 78,472 is: 159,101.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,704 : 78,472 = 78,472 : x
  2. Step 2: Convert to fraction form
    38,704/78,472 = 78,472/x
  3. Step 3: Cross multiply
    38,704x = 78,472 × 78,472
  4. Step 4: Simplify right side
    38,704x = 6,157,854,784
  5. Step 5: Solve for x
    x = 6,157,854,784/38,704
  6. Step 6: Final answer
    x = 159,101.25

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.