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Finding the Third Proportional to 439,976 and 680,147

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Solution

The third proportional to 439,976 and 680,147 is: 1,051,420.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,976 : 680,147 = 680,147 : x
  2. Step 2: Convert to fraction form
    439,976/680,147 = 680,147/x
  3. Step 3: Cross multiply
    439,976x = 680,147 × 680,147
  4. Step 4: Simplify right side
    439,976x = 462,599,941,609
  5. Step 5: Solve for x
    x = 462,599,941,609/439,976
  6. Step 6: Final answer
    x = 1,051,420.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.