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Finding the Third Proportional to 8,311 and 17,775

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Solution

The third proportional to 8,311 and 17,775 is: 38,015.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,311 : 17,775 = 17,775 : x
  2. Step 2: Convert to fraction form
    8,311/17,775 = 17,775/x
  3. Step 3: Cross multiply
    8,311x = 17,775 × 17,775
  4. Step 4: Simplify right side
    8,311x = 315,950,625
  5. Step 5: Solve for x
    x = 315,950,625/8,311
  6. Step 6: Final answer
    x = 38,015.96

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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.