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Finding the Third Proportional to 129,737 and 279,481

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Solution

The third proportional to 129,737 and 279,481 is: 602,061.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,737 : 279,481 = 279,481 : x
  2. Step 2: Convert to fraction form
    129,737/279,481 = 279,481/x
  3. Step 3: Cross multiply
    129,737x = 279,481 × 279,481
  4. Step 4: Simplify right side
    129,737x = 78,109,629,361
  5. Step 5: Solve for x
    x = 78,109,629,361/129,737
  6. Step 6: Final answer
    x = 602,061.32

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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.