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Finding the Third Proportional to 126,993 and 275,878

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Solution

The third proportional to 126,993 and 275,878 is: 599,313.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,993 : 275,878 = 275,878 : x
  2. Step 2: Convert to fraction form
    126,993/275,878 = 275,878/x
  3. Step 3: Cross multiply
    126,993x = 275,878 × 275,878
  4. Step 4: Simplify right side
    126,993x = 76,108,670,884
  5. Step 5: Solve for x
    x = 76,108,670,884/126,993
  6. Step 6: Final answer
    x = 599,313.91

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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.