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Finding the Third Proportional to 38.05 and 81.16

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Solution

The third proportional to 38.05 and 81.16 is: 173.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.05 : 81.16 = 81.16 : x
  2. Step 2: Convert to fraction form
    38.05/81.16 = 81.16/x
  3. Step 3: Cross multiply
    38.05x = 81.16 × 81.16
  4. Step 4: Simplify right side
    38.05x = 6,586.65
  5. Step 5: Solve for x
    x = 6,586.65/38.05
  6. Step 6: Final answer
    x = 173.12

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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.