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Finding the Third Proportional to 18,742 and 39,911

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Solution

The third proportional to 18,742 and 39,911 is: 84,990.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,742 : 39,911 = 39,911 : x
  2. Step 2: Convert to fraction form
    18,742/39,911 = 39,911/x
  3. Step 3: Cross multiply
    18,742x = 39,911 × 39,911
  4. Step 4: Simplify right side
    18,742x = 1,592,887,921
  5. Step 5: Solve for x
    x = 1,592,887,921/18,742
  6. Step 6: Final answer
    x = 84,990.28

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.