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Finding the Third Proportional to 18,667 and 40,251

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Solution

The third proportional to 18,667 and 40,251 is: 86,791.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,667 : 40,251 = 40,251 : x
  2. Step 2: Convert to fraction form
    18,667/40,251 = 40,251/x
  3. Step 3: Cross multiply
    18,667x = 40,251 × 40,251
  4. Step 4: Simplify right side
    18,667x = 1,620,143,001
  5. Step 5: Solve for x
    x = 1,620,143,001/18,667
  6. Step 6: Final answer
    x = 86,791.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.