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Finding the Third Proportional to 3,689 and 5,186

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Solution

The third proportional to 3,689 and 5,186 is: 7,290.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,689 : 5,186 = 5,186 : x
  2. Step 2: Convert to fraction form
    3,689/5,186 = 5,186/x
  3. Step 3: Cross multiply
    3,689x = 5,186 × 5,186
  4. Step 4: Simplify right side
    3,689x = 26,894,596
  5. Step 5: Solve for x
    x = 26,894,596/3,689
  6. Step 6: Final answer
    x = 7,290.48

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.