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Finding the Third Proportional to 4,181 and 8,257

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Solution

The third proportional to 4,181 and 8,257 is: 16,306.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,181 : 8,257 = 8,257 : x
  2. Step 2: Convert to fraction form
    4,181/8,257 = 8,257/x
  3. Step 3: Cross multiply
    4,181x = 8,257 × 8,257
  4. Step 4: Simplify right side
    4,181x = 68,178,049
  5. Step 5: Solve for x
    x = 68,178,049/4,181
  6. Step 6: Final answer
    x = 16,306.64

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.