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Finding the Third Proportional to 221,640 and 332,374

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Solution

The third proportional to 221,640 and 332,374 is: 498,432.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,640 : 332,374 = 332,374 : x
  2. Step 2: Convert to fraction form
    221,640/332,374 = 332,374/x
  3. Step 3: Cross multiply
    221,640x = 332,374 × 332,374
  4. Step 4: Simplify right side
    221,640x = 110,472,475,876
  5. Step 5: Solve for x
    x = 110,472,475,876/221,640
  6. Step 6: Final answer
    x = 498,432.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.