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Finding the Third Proportional to 126,930 and 275,743

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Solution

The third proportional to 126,930 and 275,743 is: 599,024.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,930 : 275,743 = 275,743 : x
  2. Step 2: Convert to fraction form
    126,930/275,743 = 275,743/x
  3. Step 3: Cross multiply
    126,930x = 275,743 × 275,743
  4. Step 4: Simplify right side
    126,930x = 76,034,202,049
  5. Step 5: Solve for x
    x = 76,034,202,049/126,930
  6. Step 6: Final answer
    x = 599,024.68

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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.