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Finding the Third Proportional to 8.38 and 18.17

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Solution

The third proportional to 8.38 and 18.17 is: 39.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.38 : 18.17 = 18.17 : x
  2. Step 2: Convert to fraction form
    8.38/18.17 = 18.17/x
  3. Step 3: Cross multiply
    8.38x = 18.17 × 18.17
  4. Step 4: Simplify right side
    8.38x = 330.22
  5. Step 5: Solve for x
    x = 330.22/8.38
  6. Step 6: Final answer
    x = 39.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.