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Finding the Third Proportional to 13,408 and 27,876

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Solution

The third proportional to 13,408 and 27,876 is: 57,955.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,408 : 27,876 = 27,876 : x
  2. Step 2: Convert to fraction form
    13,408/27,876 = 27,876/x
  3. Step 3: Cross multiply
    13,408x = 27,876 × 27,876
  4. Step 4: Simplify right side
    13,408x = 777,071,376
  5. Step 5: Solve for x
    x = 777,071,376/13,408
  6. Step 6: Final answer
    x = 57,955.80

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.