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Finding the Third Proportional to 10,408 and 16,138

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Solution

The third proportional to 10,408 and 16,138 is: 25,022.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,408 : 16,138 = 16,138 : x
  2. Step 2: Convert to fraction form
    10,408/16,138 = 16,138/x
  3. Step 3: Cross multiply
    10,408x = 16,138 × 16,138
  4. Step 4: Simplify right side
    10,408x = 260,435,044
  5. Step 5: Solve for x
    x = 260,435,044/10,408
  6. Step 6: Final answer
    x = 25,022.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.