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Finding the Third Proportional to 18.22 and 39.92

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Solution

The third proportional to 18.22 and 39.92 is: 87.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.22 : 39.92 = 39.92 : x
  2. Step 2: Convert to fraction form
    18.22/39.92 = 39.92/x
  3. Step 3: Cross multiply
    18.22x = 39.92 × 39.92
  4. Step 4: Simplify right side
    18.22x = 1,593.76
  5. Step 5: Solve for x
    x = 1,593.76/18.22
  6. Step 6: Final answer
    x = 87.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.