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Finding the Third Proportional to 39,458 and 83,812

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Solution

The third proportional to 39,458 and 83,812 is: 178,023.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,458 : 83,812 = 83,812 : x
  2. Step 2: Convert to fraction form
    39,458/83,812 = 83,812/x
  3. Step 3: Cross multiply
    39,458x = 83,812 × 83,812
  4. Step 4: Simplify right side
    39,458x = 7,024,451,344
  5. Step 5: Solve for x
    x = 7,024,451,344/39,458
  6. Step 6: Final answer
    x = 178,023.50

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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.