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Finding the Third Proportional to 18.13 and 42.97

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Solution

The third proportional to 18.13 and 42.97 is: 101.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.13 : 42.97 = 42.97 : x
  2. Step 2: Convert to fraction form
    18.13/42.97 = 42.97/x
  3. Step 3: Cross multiply
    18.13x = 42.97 × 42.97
  4. Step 4: Simplify right side
    18.13x = 1,846.31
  5. Step 5: Solve for x
    x = 1,846.31/18.13
  6. Step 6: Final answer
    x = 101.87

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.