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Finding the Third Proportional to 72,747 and 156,561

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Solution

The third proportional to 72,747 and 156,561 is: 336,939.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,747 : 156,561 = 156,561 : x
  2. Step 2: Convert to fraction form
    72,747/156,561 = 156,561/x
  3. Step 3: Cross multiply
    72,747x = 156,561 × 156,561
  4. Step 4: Simplify right side
    72,747x = 24,511,346,721
  5. Step 5: Solve for x
    x = 24,511,346,721/72,747
  6. Step 6: Final answer
    x = 336,939.62

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.