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Finding the Third Proportional to 100,387 and 137,650

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Solution

The third proportional to 100,387 and 137,650 is: 188,744.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,387 : 137,650 = 137,650 : x
  2. Step 2: Convert to fraction form
    100,387/137,650 = 137,650/x
  3. Step 3: Cross multiply
    100,387x = 137,650 × 137,650
  4. Step 4: Simplify right side
    100,387x = 18,947,522,500
  5. Step 5: Solve for x
    x = 18,947,522,500/100,387
  6. Step 6: Final answer
    x = 188,744.78

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.