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Finding the Third Proportional to 126,997 and 189,876

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Solution

The third proportional to 126,997 and 189,876 is: 283,887.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,997 : 189,876 = 189,876 : x
  2. Step 2: Convert to fraction form
    126,997/189,876 = 189,876/x
  3. Step 3: Cross multiply
    126,997x = 189,876 × 189,876
  4. Step 4: Simplify right side
    126,997x = 36,052,895,376
  5. Step 5: Solve for x
    x = 36,052,895,376/126,997
  6. Step 6: Final answer
    x = 283,887.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.