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Finding the Third Proportional to 18,877 and 40,002

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Solution

The third proportional to 18,877 and 40,002 is: 84,767.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,877 : 40,002 = 40,002 : x
  2. Step 2: Convert to fraction form
    18,877/40,002 = 40,002/x
  3. Step 3: Cross multiply
    18,877x = 40,002 × 40,002
  4. Step 4: Simplify right side
    18,877x = 1,600,160,004
  5. Step 5: Solve for x
    x = 1,600,160,004/18,877
  6. Step 6: Final answer
    x = 84,767.71

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.