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Finding the Third Proportional to 126,978 and 261,636

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Solution

The third proportional to 126,978 and 261,636 is: 539,096.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,978 : 261,636 = 261,636 : x
  2. Step 2: Convert to fraction form
    126,978/261,636 = 261,636/x
  3. Step 3: Cross multiply
    126,978x = 261,636 × 261,636
  4. Step 4: Simplify right side
    126,978x = 68,453,396,496
  5. Step 5: Solve for x
    x = 68,453,396,496/126,978
  6. Step 6: Final answer
    x = 539,096.51

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.