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Finding the Third Proportional to 8,211 and 17,589

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Solution

The third proportional to 8,211 and 17,589 is: 37,677.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,211 : 17,589 = 17,589 : x
  2. Step 2: Convert to fraction form
    8,211/17,589 = 17,589/x
  3. Step 3: Cross multiply
    8,211x = 17,589 × 17,589
  4. Step 4: Simplify right side
    8,211x = 309,372,921
  5. Step 5: Solve for x
    x = 309,372,921/8,211
  6. Step 6: Final answer
    x = 37,677.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.