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Finding the Third Proportional to 18.35 and 39.87

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Solution

The third proportional to 18.35 and 39.87 is: 86.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.35 : 39.87 = 39.87 : x
  2. Step 2: Convert to fraction form
    18.35/39.87 = 39.87/x
  3. Step 3: Cross multiply
    18.35x = 39.87 × 39.87
  4. Step 4: Simplify right side
    18.35x = 1,589.39
  5. Step 5: Solve for x
    x = 1,589.39/18.35
  6. Step 6: Final answer
    x = 86.61

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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.