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Finding the Third Proportional to 8,317 and 17,939

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Solution

The third proportional to 8,317 and 17,939 is: 38,692.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,317 : 17,939 = 17,939 : x
  2. Step 2: Convert to fraction form
    8,317/17,939 = 17,939/x
  3. Step 3: Cross multiply
    8,317x = 17,939 × 17,939
  4. Step 4: Simplify right side
    8,317x = 321,807,721
  5. Step 5: Solve for x
    x = 321,807,721/8,317
  6. Step 6: Final answer
    x = 38,692.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.