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Finding the Third Proportional to 447,202 and 664,718

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Solution

The third proportional to 447,202 and 664,718 is: 988,032.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,202 : 664,718 = 664,718 : x
  2. Step 2: Convert to fraction form
    447,202/664,718 = 664,718/x
  3. Step 3: Cross multiply
    447,202x = 664,718 × 664,718
  4. Step 4: Simplify right side
    447,202x = 441,850,019,524
  5. Step 5: Solve for x
    x = 441,850,019,524/447,202
  6. Step 6: Final answer
    x = 988,032.30

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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.