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Finding the Third Proportional to 38.31 and 84.22

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Solution

The third proportional to 38.31 and 84.22 is: 185.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.31 : 84.22 = 84.22 : x
  2. Step 2: Convert to fraction form
    38.31/84.22 = 84.22/x
  3. Step 3: Cross multiply
    38.31x = 84.22 × 84.22
  4. Step 4: Simplify right side
    38.31x = 7,092.80
  5. Step 5: Solve for x
    x = 7,092.80/38.31
  6. Step 6: Final answer
    x = 185.13

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.