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Finding the Third Proportional to 62,737 and 128,530

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Solution

The third proportional to 62,737 and 128,530 is: 263,320.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,737 : 128,530 = 128,530 : x
  2. Step 2: Convert to fraction form
    62,737/128,530 = 128,530/x
  3. Step 3: Cross multiply
    62,737x = 128,530 × 128,530
  4. Step 4: Simplify right side
    62,737x = 16,519,960,900
  5. Step 5: Solve for x
    x = 16,519,960,900/62,737
  6. Step 6: Final answer
    x = 263,320.86

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.