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Finding the Third Proportional to 339,976 and 720,331

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Solution

The third proportional to 339,976 and 720,331 is: 1,526,215.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,976 : 720,331 = 720,331 : x
  2. Step 2: Convert to fraction form
    339,976/720,331 = 720,331/x
  3. Step 3: Cross multiply
    339,976x = 720,331 × 720,331
  4. Step 4: Simplify right side
    339,976x = 518,876,749,561
  5. Step 5: Solve for x
    x = 518,876,749,561/339,976
  6. Step 6: Final answer
    x = 1,526,215.82

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.