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Finding the Third Proportional to 6,109 and 13,387

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Solution

The third proportional to 6,109 and 13,387 is: 29,335.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,109 : 13,387 = 13,387 : x
  2. Step 2: Convert to fraction form
    6,109/13,387 = 13,387/x
  3. Step 3: Cross multiply
    6,109x = 13,387 × 13,387
  4. Step 4: Simplify right side
    6,109x = 179,211,769
  5. Step 5: Solve for x
    x = 179,211,769/6,109
  6. Step 6: Final answer
    x = 29,335.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.