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Finding the Third Proportional to 220,920 and 337,805

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Solution

The third proportional to 220,920 and 337,805 is: 516,531.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,920 : 337,805 = 337,805 : x
  2. Step 2: Convert to fraction form
    220,920/337,805 = 337,805/x
  3. Step 3: Cross multiply
    220,920x = 337,805 × 337,805
  4. Step 4: Simplify right side
    220,920x = 114,112,218,025
  5. Step 5: Solve for x
    x = 114,112,218,025/220,920
  6. Step 6: Final answer
    x = 516,531.86

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.