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Finding the Third Proportional to 3,940 and 8,282

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Solution

The third proportional to 3,940 and 8,282 is: 17,409.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,940 : 8,282 = 8,282 : x
  2. Step 2: Convert to fraction form
    3,940/8,282 = 8,282/x
  3. Step 3: Cross multiply
    3,940x = 8,282 × 8,282
  4. Step 4: Simplify right side
    3,940x = 68,591,524
  5. Step 5: Solve for x
    x = 68,591,524/3,940
  6. Step 6: Final answer
    x = 17,409.02

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.