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Finding the Third Proportional to 8,349 and 18,139

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Solution

The third proportional to 8,349 and 18,139 is: 39,408.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,349 : 18,139 = 18,139 : x
  2. Step 2: Convert to fraction form
    8,349/18,139 = 18,139/x
  3. Step 3: Cross multiply
    8,349x = 18,139 × 18,139
  4. Step 4: Simplify right side
    8,349x = 329,023,321
  5. Step 5: Solve for x
    x = 329,023,321/8,349
  6. Step 6: Final answer
    x = 39,408.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.