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Finding the Third Proportional to 3,897 and 7,965

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Solution

The third proportional to 3,897 and 7,965 is: 16,279.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897 : 7,965 = 7,965 : x
  2. Step 2: Convert to fraction form
    3,897/7,965 = 7,965/x
  3. Step 3: Cross multiply
    3,897x = 7,965 × 7,965
  4. Step 4: Simplify right side
    3,897x = 63,441,225
  5. Step 5: Solve for x
    x = 63,441,225/3,897
  6. Step 6: Final answer
    x = 16,279.50

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.