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Finding the Third Proportional to 38.13 and 81.79

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Solution

The third proportional to 38.13 and 81.79 is: 175.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.13 : 81.79 = 81.79 : x
  2. Step 2: Convert to fraction form
    38.13/81.79 = 81.79/x
  3. Step 3: Cross multiply
    38.13x = 81.79 × 81.79
  4. Step 4: Simplify right side
    38.13x = 6,689.77
  5. Step 5: Solve for x
    x = 6,689.77/38.13
  6. Step 6: Final answer
    x = 175.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.