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Finding the Third Proportional to 337.38 and 684.13

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Solution

The third proportional to 337.38 and 684.13 is: 1,387.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.38 : 684.13 = 684.13 : x
  2. Step 2: Convert to fraction form
    337.38/684.13 = 684.13/x
  3. Step 3: Cross multiply
    337.38x = 684.13 × 684.13
  4. Step 4: Simplify right side
    337.38x = 468,027.02
  5. Step 5: Solve for x
    x = 468,027.02/337.38
  6. Step 6: Final answer
    x = 1,387.26

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.