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Finding the Third Proportional to 4,100 and 9,872

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Solution

The third proportional to 4,100 and 9,872 is: 23,769.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,100 : 9,872 = 9,872 : x
  2. Step 2: Convert to fraction form
    4,100/9,872 = 9,872/x
  3. Step 3: Cross multiply
    4,100x = 9,872 × 9,872
  4. Step 4: Simplify right side
    4,100x = 97,456,384
  5. Step 5: Solve for x
    x = 97,456,384/4,100
  6. Step 6: Final answer
    x = 23,769.85

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.