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Finding the Third Proportional to 80,208 and 126,153

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Solution

The third proportional to 80,208 and 126,153 is: 198,416.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,208 : 126,153 = 126,153 : x
  2. Step 2: Convert to fraction form
    80,208/126,153 = 126,153/x
  3. Step 3: Cross multiply
    80,208x = 126,153 × 126,153
  4. Step 4: Simplify right side
    80,208x = 15,914,579,409
  5. Step 5: Solve for x
    x = 15,914,579,409/80,208
  6. Step 6: Final answer
    x = 198,416.36

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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.