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Finding the Third Proportional to 126,939 and 276,648

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Solution

The third proportional to 126,939 and 276,648 is: 602,920.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,939 : 276,648 = 276,648 : x
  2. Step 2: Convert to fraction form
    126,939/276,648 = 276,648/x
  3. Step 3: Cross multiply
    126,939x = 276,648 × 276,648
  4. Step 4: Simplify right side
    126,939x = 76,534,115,904
  5. Step 5: Solve for x
    x = 76,534,115,904/126,939
  6. Step 6: Final answer
    x = 602,920.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.