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Finding the Third Proportional to 13,387 and 27,099

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Solution

The third proportional to 13,387 and 27,099 is: 54,855.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,387 : 27,099 = 27,099 : x
  2. Step 2: Convert to fraction form
    13,387/27,099 = 27,099/x
  3. Step 3: Cross multiply
    13,387x = 27,099 × 27,099
  4. Step 4: Simplify right side
    13,387x = 734,355,801
  5. Step 5: Solve for x
    x = 734,355,801/13,387
  6. Step 6: Final answer
    x = 54,855.89

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.