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Finding the Third Proportional to 13,408 and 16,256

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Solution

The third proportional to 13,408 and 16,256 is: 19,708.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,408 : 16,256 = 16,256 : x
  2. Step 2: Convert to fraction form
    13,408/16,256 = 16,256/x
  3. Step 3: Cross multiply
    13,408x = 16,256 × 16,256
  4. Step 4: Simplify right side
    13,408x = 264,257,536
  5. Step 5: Solve for x
    x = 264,257,536/13,408
  6. Step 6: Final answer
    x = 19,708.95

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.