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Finding the Third Proportional to 80,910 and 126,657

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Solution

The third proportional to 80,910 and 126,657 is: 198,269.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,910 : 126,657 = 126,657 : x
  2. Step 2: Convert to fraction form
    80,910/126,657 = 126,657/x
  3. Step 3: Cross multiply
    80,910x = 126,657 × 126,657
  4. Step 4: Simplify right side
    80,910x = 16,041,995,649
  5. Step 5: Solve for x
    x = 16,041,995,649/80,910
  6. Step 6: Final answer
    x = 198,269.63

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.