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Finding the Third Proportional to 2,129 and 3,991

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Solution

The third proportional to 2,129 and 3,991 is: 7,481.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129 : 3,991 = 3,991 : x
  2. Step 2: Convert to fraction form
    2,129/3,991 = 3,991/x
  3. Step 3: Cross multiply
    2,129x = 3,991 × 3,991
  4. Step 4: Simplify right side
    2,129x = 15,928,081
  5. Step 5: Solve for x
    x = 15,928,081/2,129
  6. Step 6: Final answer
    x = 7,481.48

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.