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Finding the Third Proportional to 81,953 and 126,568

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Solution

The third proportional to 81,953 and 126,568 is: 195,471.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,953 : 126,568 = 126,568 : x
  2. Step 2: Convert to fraction form
    81,953/126,568 = 126,568/x
  3. Step 3: Cross multiply
    81,953x = 126,568 × 126,568
  4. Step 4: Simplify right side
    81,953x = 16,019,458,624
  5. Step 5: Solve for x
    x = 16,019,458,624/81,953
  6. Step 6: Final answer
    x = 195,471.29

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.