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Finding the Third Proportional to 3,950 and 6,885

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Solution

The third proportional to 3,950 and 6,885 is: 12,000.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,950 : 6,885 = 6,885 : x
  2. Step 2: Convert to fraction form
    3,950/6,885 = 6,885/x
  3. Step 3: Cross multiply
    3,950x = 6,885 × 6,885
  4. Step 4: Simplify right side
    3,950x = 47,403,225
  5. Step 5: Solve for x
    x = 47,403,225/3,950
  6. Step 6: Final answer
    x = 12,000.82

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Why These Related Problems?

These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.