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Finding the Third Proportional to 8,742 and 18,874

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Solution

The third proportional to 8,742 and 18,874 is: 40,749.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,742 : 18,874 = 18,874 : x
  2. Step 2: Convert to fraction form
    8,742/18,874 = 18,874/x
  3. Step 3: Cross multiply
    8,742x = 18,874 × 18,874
  4. Step 4: Simplify right side
    8,742x = 356,227,876
  5. Step 5: Solve for x
    x = 356,227,876/8,742
  6. Step 6: Final answer
    x = 40,749.01

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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.