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Finding the Third Proportional to 442,001 and 679,782

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Solution

The third proportional to 442,001 and 679,782 is: 1,045,480.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,001 : 679,782 = 679,782 : x
  2. Step 2: Convert to fraction form
    442,001/679,782 = 679,782/x
  3. Step 3: Cross multiply
    442,001x = 679,782 × 679,782
  4. Step 4: Simplify right side
    442,001x = 462,103,567,524
  5. Step 5: Solve for x
    x = 462,103,567,524/442,001
  6. Step 6: Final answer
    x = 1,045,480.82

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.