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Finding the Third Proportional to 447,204 and 664,721

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Solution

The third proportional to 447,204 and 664,721 is: 988,036.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,204 : 664,721 = 664,721 : x
  2. Step 2: Convert to fraction form
    447,204/664,721 = 664,721/x
  3. Step 3: Cross multiply
    447,204x = 664,721 × 664,721
  4. Step 4: Simplify right side
    447,204x = 441,854,007,841
  5. Step 5: Solve for x
    x = 441,854,007,841/447,204
  6. Step 6: Final answer
    x = 988,036.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.