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Finding the Third Proportional to 18,238 and 38,742

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Solution

The third proportional to 18,238 and 38,742 is: 82,297.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,238 : 38,742 = 38,742 : x
  2. Step 2: Convert to fraction form
    18,238/38,742 = 38,742/x
  3. Step 3: Cross multiply
    18,238x = 38,742 × 38,742
  4. Step 4: Simplify right side
    18,238x = 1,500,942,564
  5. Step 5: Solve for x
    x = 1,500,942,564/18,238
  6. Step 6: Final answer
    x = 82,297.54

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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.