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Finding the Third Proportional to 38.47 and 81.78

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Solution

The third proportional to 38.47 and 81.78 is: 173.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.47 : 81.78 = 81.78 : x
  2. Step 2: Convert to fraction form
    38.47/81.78 = 81.78/x
  3. Step 3: Cross multiply
    38.47x = 81.78 × 81.78
  4. Step 4: Simplify right side
    38.47x = 6,688.17
  5. Step 5: Solve for x
    x = 6,688.17/38.47
  6. Step 6: Final answer
    x = 173.86

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.