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Finding the Third Proportional to 18,518 and 40,742

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Solution

The third proportional to 18,518 and 40,742 is: 89,637.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,518 : 40,742 = 40,742 : x
  2. Step 2: Convert to fraction form
    18,518/40,742 = 40,742/x
  3. Step 3: Cross multiply
    18,518x = 40,742 × 40,742
  4. Step 4: Simplify right side
    18,518x = 1,659,910,564
  5. Step 5: Solve for x
    x = 1,659,910,564/18,518
  6. Step 6: Final answer
    x = 89,637.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.