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Finding the Third Proportional to 126,189 and 277,983

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Solution

The third proportional to 126,189 and 277,983 is: 612,371.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,189 : 277,983 = 277,983 : x
  2. Step 2: Convert to fraction form
    126,189/277,983 = 277,983/x
  3. Step 3: Cross multiply
    126,189x = 277,983 × 277,983
  4. Step 4: Simplify right side
    126,189x = 77,274,548,289
  5. Step 5: Solve for x
    x = 77,274,548,289/126,189
  6. Step 6: Final answer
    x = 612,371.51

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.