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Finding the Third Proportional to 337,920 and 717,120

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Solution

The third proportional to 337,920 and 717,120 is: 1,521,842.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,920 : 717,120 = 717,120 : x
  2. Step 2: Convert to fraction form
    337,920/717,120 = 717,120/x
  3. Step 3: Cross multiply
    337,920x = 717,120 × 717,120
  4. Step 4: Simplify right side
    337,920x = 514,261,094,400
  5. Step 5: Solve for x
    x = 514,261,094,400/337,920
  6. Step 6: Final answer
    x = 1,521,842.73

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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.