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Finding the Third Proportional to 224.13 and 337.50

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Solution

The third proportional to 224.13 and 337.50 is: 508.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.13 : 337.50 = 337.50 : x
  2. Step 2: Convert to fraction form
    224.13/337.50 = 337.50/x
  3. Step 3: Cross multiply
    224.13x = 337.50 × 337.50
  4. Step 4: Simplify right side
    224.13x = 113,906.25
  5. Step 5: Solve for x
    x = 113,906.25/224.13
  6. Step 6: Final answer
    x = 508.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.