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Finding the Third Proportional to 217,988 and 337,674

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Solution

The third proportional to 217,988 and 337,674 is: 523,073.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,988 : 337,674 = 337,674 : x
  2. Step 2: Convert to fraction form
    217,988/337,674 = 337,674/x
  3. Step 3: Cross multiply
    217,988x = 337,674 × 337,674
  4. Step 4: Simplify right side
    217,988x = 114,023,730,276
  5. Step 5: Solve for x
    x = 114,023,730,276/217,988
  6. Step 6: Final answer
    x = 523,073.43

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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.