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Finding the Third Proportional to 3,800 and 8,218

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Solution

The third proportional to 3,800 and 8,218 is: 17,772.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,800 : 8,218 = 8,218 : x
  2. Step 2: Convert to fraction form
    3,800/8,218 = 8,218/x
  3. Step 3: Cross multiply
    3,800x = 8,218 × 8,218
  4. Step 4: Simplify right side
    3,800x = 67,535,524
  5. Step 5: Solve for x
    x = 67,535,524/3,800
  6. Step 6: Final answer
    x = 17,772.51

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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.