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Finding the Third Proportional to 3,882.78 and 8,122.23

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Solution

The third proportional to 3,882.78 and 8,122.23 is: 16,990.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,882.78 : 8,122.23 = 8,122.23 : x
  2. Step 2: Convert to fraction form
    3,882.78/8,122.23 = 8,122.23/x
  3. Step 3: Cross multiply
    3,882.78x = 8,122.23 × 8,122.23
  4. Step 4: Simplify right side
    3,882.78x = 65,970,580.20
  5. Step 5: Solve for x
    x = 65,970,580.20/3,882.78
  6. Step 6: Final answer
    x = 16,990.56

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.