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Finding the Third Proportional to 8,138 and 17,349

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Solution

The third proportional to 8,138 and 17,349 is: 36,985.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,138 : 17,349 = 17,349 : x
  2. Step 2: Convert to fraction form
    8,138/17,349 = 17,349/x
  3. Step 3: Cross multiply
    8,138x = 17,349 × 17,349
  4. Step 4: Simplify right side
    8,138x = 300,987,801
  5. Step 5: Solve for x
    x = 300,987,801/8,138
  6. Step 6: Final answer
    x = 36,985.48

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.