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Finding the Third Proportional to 18,078 and 39,171

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Solution

The third proportional to 18,078 and 39,171 is: 84,874.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,078 : 39,171 = 39,171 : x
  2. Step 2: Convert to fraction form
    18,078/39,171 = 39,171/x
  3. Step 3: Cross multiply
    18,078x = 39,171 × 39,171
  4. Step 4: Simplify right side
    18,078x = 1,534,367,241
  5. Step 5: Solve for x
    x = 1,534,367,241/18,078
  6. Step 6: Final answer
    x = 84,874.83

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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.