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Finding the Third Proportional to 126,879 and 275,622

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Solution

The third proportional to 126,879 and 275,622 is: 598,739.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,879 : 275,622 = 275,622 : x
  2. Step 2: Convert to fraction form
    126,879/275,622 = 275,622/x
  3. Step 3: Cross multiply
    126,879x = 275,622 × 275,622
  4. Step 4: Simplify right side
    126,879x = 75,967,486,884
  5. Step 5: Solve for x
    x = 75,967,486,884/126,879
  6. Step 6: Final answer
    x = 598,739.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.