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Finding the Third Proportional to 79,296 and 171,876

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Solution

The third proportional to 79,296 and 171,876 is: 372,545.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,296 : 171,876 = 171,876 : x
  2. Step 2: Convert to fraction form
    79,296/171,876 = 171,876/x
  3. Step 3: Cross multiply
    79,296x = 171,876 × 171,876
  4. Step 4: Simplify right side
    79,296x = 29,541,359,376
  5. Step 5: Solve for x
    x = 29,541,359,376/79,296
  6. Step 6: Final answer
    x = 372,545.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.