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Finding the Third Proportional to 2,661 and 5,661

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Solution

The third proportional to 2,661 and 5,661 is: 12,043.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,661 : 5,661 = 5,661 : x
  2. Step 2: Convert to fraction form
    2,661/5,661 = 5,661/x
  3. Step 3: Cross multiply
    2,661x = 5,661 × 5,661
  4. Step 4: Simplify right side
    2,661x = 32,046,921
  5. Step 5: Solve for x
    x = 32,046,921/2,661
  6. Step 6: Final answer
    x = 12,043.19

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.