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Finding the Third Proportional to 2,591 and 5,591

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Solution

The third proportional to 2,591 and 5,591 is: 12,064.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,591 : 5,591 = 5,591 : x
  2. Step 2: Convert to fraction form
    2,591/5,591 = 5,591/x
  3. Step 3: Cross multiply
    2,591x = 5,591 × 5,591
  4. Step 4: Simplify right side
    2,591x = 31,259,281
  5. Step 5: Solve for x
    x = 31,259,281/2,591
  6. Step 6: Final answer
    x = 12,064.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.