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Finding the Third Proportional to 42,586 and 93,812

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Solution

The third proportional to 42,586 and 93,812 is: 206,656.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,586 : 93,812 = 93,812 : x
  2. Step 2: Convert to fraction form
    42,586/93,812 = 93,812/x
  3. Step 3: Cross multiply
    42,586x = 93,812 × 93,812
  4. Step 4: Simplify right side
    42,586x = 8,800,691,344
  5. Step 5: Solve for x
    x = 8,800,691,344/42,586
  6. Step 6: Final answer
    x = 206,656.91

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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.