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Finding the Third Proportional to 425,952 and 667,872

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Solution

The third proportional to 425,952 and 667,872 is: 1,047,190.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,952 : 667,872 = 667,872 : x
  2. Step 2: Convert to fraction form
    425,952/667,872 = 667,872/x
  3. Step 3: Cross multiply
    425,952x = 667,872 × 667,872
  4. Step 4: Simplify right side
    425,952x = 446,053,008,384
  5. Step 5: Solve for x
    x = 446,053,008,384/425,952
  6. Step 6: Final answer
    x = 1,047,190.78

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.