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Finding the Third Proportional to 13,408 and 18,898

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Solution

The third proportional to 13,408 and 18,898 is: 26,635.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,408 : 18,898 = 18,898 : x
  2. Step 2: Convert to fraction form
    13,408/18,898 = 18,898/x
  3. Step 3: Cross multiply
    13,408x = 18,898 × 18,898
  4. Step 4: Simplify right side
    13,408x = 357,134,404
  5. Step 5: Solve for x
    x = 357,134,404/13,408
  6. Step 6: Final answer
    x = 26,635.92

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.