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Finding the Third Proportional to 220,491 and 329,874

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Solution

The third proportional to 220,491 and 329,874 is: 493,520.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,491 : 329,874 = 329,874 : x
  2. Step 2: Convert to fraction form
    220,491/329,874 = 329,874/x
  3. Step 3: Cross multiply
    220,491x = 329,874 × 329,874
  4. Step 4: Simplify right side
    220,491x = 108,816,855,876
  5. Step 5: Solve for x
    x = 108,816,855,876/220,491
  6. Step 6: Final answer
    x = 493,520.62

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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.