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Finding the Third Proportional to 131,949 and 276,857

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Solution

The third proportional to 131,949 and 276,857 is: 580,904.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,949 : 276,857 = 276,857 : x
  2. Step 2: Convert to fraction form
    131,949/276,857 = 276,857/x
  3. Step 3: Cross multiply
    131,949x = 276,857 × 276,857
  4. Step 4: Simplify right side
    131,949x = 76,649,798,449
  5. Step 5: Solve for x
    x = 76,649,798,449/131,949
  6. Step 6: Final answer
    x = 580,904.73

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.