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Finding the Third Proportional to 18,434 and 39,812

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Solution

The third proportional to 18,434 and 39,812 is: 85,982.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,434 : 39,812 = 39,812 : x
  2. Step 2: Convert to fraction form
    18,434/39,812 = 39,812/x
  3. Step 3: Cross multiply
    18,434x = 39,812 × 39,812
  4. Step 4: Simplify right side
    18,434x = 1,584,995,344
  5. Step 5: Solve for x
    x = 1,584,995,344/18,434
  6. Step 6: Final answer
    x = 85,982.17

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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.