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Finding the Third Proportional to 3,872 and 9,200

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Solution

The third proportional to 3,872 and 9,200 is: 21,859.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872 : 9,200 = 9,200 : x
  2. Step 2: Convert to fraction form
    3,872/9,200 = 9,200/x
  3. Step 3: Cross multiply
    3,872x = 9,200 × 9,200
  4. Step 4: Simplify right side
    3,872x = 84,640,000
  5. Step 5: Solve for x
    x = 84,640,000/3,872
  6. Step 6: Final answer
    x = 21,859.50

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.