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Finding the Third Proportional to 220,519 and 329,911

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Solution

The third proportional to 220,519 and 329,911 is: 493,568.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,519 : 329,911 = 329,911 : x
  2. Step 2: Convert to fraction form
    220,519/329,911 = 329,911/x
  3. Step 3: Cross multiply
    220,519x = 329,911 × 329,911
  4. Step 4: Simplify right side
    220,519x = 108,841,267,921
  5. Step 5: Solve for x
    x = 108,841,267,921/220,519
  6. Step 6: Final answer
    x = 493,568.66

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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.