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Finding the Third Proportional to 447,162 and 664,665

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Solution

The third proportional to 447,162 and 664,665 is: 987,963.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,162 : 664,665 = 664,665 : x
  2. Step 2: Convert to fraction form
    447,162/664,665 = 664,665/x
  3. Step 3: Cross multiply
    447,162x = 664,665 × 664,665
  4. Step 4: Simplify right side
    447,162x = 441,779,562,225
  5. Step 5: Solve for x
    x = 441,779,562,225/447,162
  6. Step 6: Final answer
    x = 987,963.11

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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.