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Finding the Third Proportional to 6,689 and 7,661

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Solution

The third proportional to 6,689 and 7,661 is: 8,774.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,689 : 7,661 = 7,661 : x
  2. Step 2: Convert to fraction form
    6,689/7,661 = 7,661/x
  3. Step 3: Cross multiply
    6,689x = 7,661 × 7,661
  4. Step 4: Simplify right side
    6,689x = 58,690,921
  5. Step 5: Solve for x
    x = 58,690,921/6,689
  6. Step 6: Final answer
    x = 8,774.24

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.