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Finding the Third Proportional to 11,840 and 13,408

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Solution

The third proportional to 11,840 and 13,408 is: 15,183.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,840 : 13,408 = 13,408 : x
  2. Step 2: Convert to fraction form
    11,840/13,408 = 13,408/x
  3. Step 3: Cross multiply
    11,840x = 13,408 × 13,408
  4. Step 4: Simplify right side
    11,840x = 179,774,464
  5. Step 5: Solve for x
    x = 179,774,464/11,840
  6. Step 6: Final answer
    x = 15,183.65

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.