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Finding the Third Proportional to 3,800 and 8,294

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Solution

The third proportional to 3,800 and 8,294 is: 18,102.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,800 : 8,294 = 8,294 : x
  2. Step 2: Convert to fraction form
    3,800/8,294 = 8,294/x
  3. Step 3: Cross multiply
    3,800x = 8,294 × 8,294
  4. Step 4: Simplify right side
    3,800x = 68,790,436
  5. Step 5: Solve for x
    x = 68,790,436/3,800
  6. Step 6: Final answer
    x = 18,102.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.