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Finding the Third Proportional to 447,320 and 664,905

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Solution

The third proportional to 447,320 and 664,905 is: 988,327.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,320 : 664,905 = 664,905 : x
  2. Step 2: Convert to fraction form
    447,320/664,905 = 664,905/x
  3. Step 3: Cross multiply
    447,320x = 664,905 × 664,905
  4. Step 4: Simplify right side
    447,320x = 442,098,659,025
  5. Step 5: Solve for x
    x = 442,098,659,025/447,320
  6. Step 6: Final answer
    x = 988,327.50

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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.