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Finding the Third Proportional to 156,934 and 223,561

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Solution

The third proportional to 156,934 and 223,561 is: 318,474.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,934 : 223,561 = 223,561 : x
  2. Step 2: Convert to fraction form
    156,934/223,561 = 223,561/x
  3. Step 3: Cross multiply
    156,934x = 223,561 × 223,561
  4. Step 4: Simplify right side
    156,934x = 49,979,520,721
  5. Step 5: Solve for x
    x = 49,979,520,721/156,934
  6. Step 6: Final answer
    x = 318,474.78

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.