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Finding the Third Proportional to 18.15 and 38.62

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Solution

The third proportional to 18.15 and 38.62 is: 82.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.15 : 38.62 = 38.62 : x
  2. Step 2: Convert to fraction form
    18.15/38.62 = 38.62/x
  3. Step 3: Cross multiply
    18.15x = 38.62 × 38.62
  4. Step 4: Simplify right side
    18.15x = 1,491.61
  5. Step 5: Solve for x
    x = 1,491.61/18.15
  6. Step 6: Final answer
    x = 82.17

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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.