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Finding the Third Proportional to 156,560 and 209,727

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Solution

The third proportional to 156,560 and 209,727 is: 280,949.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,560 : 209,727 = 209,727 : x
  2. Step 2: Convert to fraction form
    156,560/209,727 = 209,727/x
  3. Step 3: Cross multiply
    156,560x = 209,727 × 209,727
  4. Step 4: Simplify right side
    156,560x = 43,985,414,529
  5. Step 5: Solve for x
    x = 43,985,414,529/156,560
  6. Step 6: Final answer
    x = 280,949.25

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.