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Finding the Third Proportional to 138.47 and 229.78

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Solution

The third proportional to 138.47 and 229.78 is: 381.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.47 : 229.78 = 229.78 : x
  2. Step 2: Convert to fraction form
    138.47/229.78 = 229.78/x
  3. Step 3: Cross multiply
    138.47x = 229.78 × 229.78
  4. Step 4: Simplify right side
    138.47x = 52,799.42
  5. Step 5: Solve for x
    x = 52,799.42/138.47
  6. Step 6: Final answer
    x = 381.31

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.