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Finding the Third Proportional to 2,181 and 3,317

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Solution

The third proportional to 2,181 and 3,317 is: 5,044.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,181 : 3,317 = 3,317 : x
  2. Step 2: Convert to fraction form
    2,181/3,317 = 3,317/x
  3. Step 3: Cross multiply
    2,181x = 3,317 × 3,317
  4. Step 4: Simplify right side
    2,181x = 11,002,489
  5. Step 5: Solve for x
    x = 11,002,489/2,181
  6. Step 6: Final answer
    x = 5,044.70

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.