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Finding the Third Proportional to 39,296 and 80,408

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Solution

The third proportional to 39,296 and 80,408 is: 164,531.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,296 : 80,408 = 80,408 : x
  2. Step 2: Convert to fraction form
    39,296/80,408 = 80,408/x
  3. Step 3: Cross multiply
    39,296x = 80,408 × 80,408
  4. Step 4: Simplify right side
    39,296x = 6,465,446,464
  5. Step 5: Solve for x
    x = 6,465,446,464/39,296
  6. Step 6: Final answer
    x = 164,531.92

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.