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Finding the Third Proportional to 229.97 and 355.27

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Solution

The third proportional to 229.97 and 355.27 is: 548.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.97 : 355.27 = 355.27 : x
  2. Step 2: Convert to fraction form
    229.97/355.27 = 355.27/x
  3. Step 3: Cross multiply
    229.97x = 355.27 × 355.27
  4. Step 4: Simplify right side
    229.97x = 126,213.66
  5. Step 5: Solve for x
    x = 126,213.66/229.97
  6. Step 6: Final answer
    x = 548.83

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.