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Finding the Third Proportional to 172,539 and 231,876

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Solution

The third proportional to 172,539 and 231,876 is: 311,619.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,539 : 231,876 = 231,876 : x
  2. Step 2: Convert to fraction form
    172,539/231,876 = 231,876/x
  3. Step 3: Cross multiply
    172,539x = 231,876 × 231,876
  4. Step 4: Simplify right side
    172,539x = 53,766,479,376
  5. Step 5: Solve for x
    x = 53,766,479,376/172,539
  6. Step 6: Final answer
    x = 311,619.28

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.