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Finding the Third Proportional to 126,120 and 275,919

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Solution

The third proportional to 126,120 and 275,919 is: 603,641.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,120 : 275,919 = 275,919 : x
  2. Step 2: Convert to fraction form
    126,120/275,919 = 275,919/x
  3. Step 3: Cross multiply
    126,120x = 275,919 × 275,919
  4. Step 4: Simplify right side
    126,120x = 76,131,294,561
  5. Step 5: Solve for x
    x = 76,131,294,561/126,120
  6. Step 6: Final answer
    x = 603,641.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.