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Finding the Third Proportional to 221,404 and 479,996

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Solution

The third proportional to 221,404 and 479,996 is: 1,040,614.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,404 : 479,996 = 479,996 : x
  2. Step 2: Convert to fraction form
    221,404/479,996 = 479,996/x
  3. Step 3: Cross multiply
    221,404x = 479,996 × 479,996
  4. Step 4: Simplify right side
    221,404x = 230,396,160,016
  5. Step 5: Solve for x
    x = 230,396,160,016/221,404
  6. Step 6: Final answer
    x = 1,040,614.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.