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Finding the Third Proportional to 80,964 and 126,744

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Solution

The third proportional to 80,964 and 126,744 is: 198,409.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,964 : 126,744 = 126,744 : x
  2. Step 2: Convert to fraction form
    80,964/126,744 = 126,744/x
  3. Step 3: Cross multiply
    80,964x = 126,744 × 126,744
  4. Step 4: Simplify right side
    80,964x = 16,064,041,536
  5. Step 5: Solve for x
    x = 16,064,041,536/80,964
  6. Step 6: Final answer
    x = 198,409.68

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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.