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Finding the Third Proportional to 57,811 and 126,206

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Solution

The third proportional to 57,811 and 126,206 is: 275,517.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,811 : 126,206 = 126,206 : x
  2. Step 2: Convert to fraction form
    57,811/126,206 = 126,206/x
  3. Step 3: Cross multiply
    57,811x = 126,206 × 126,206
  4. Step 4: Simplify right side
    57,811x = 15,927,954,436
  5. Step 5: Solve for x
    x = 15,927,954,436/57,811
  6. Step 6: Final answer
    x = 275,517.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.