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Finding the Third Proportional to 276,858 and 582,876

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Solution

The third proportional to 276,858 and 582,876 is: 1,227,143.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,858 : 582,876 = 582,876 : x
  2. Step 2: Convert to fraction form
    276,858/582,876 = 582,876/x
  3. Step 3: Cross multiply
    276,858x = 582,876 × 582,876
  4. Step 4: Simplify right side
    276,858x = 339,744,431,376
  5. Step 5: Solve for x
    x = 339,744,431,376/276,858
  6. Step 6: Final answer
    x = 1,227,143.27

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.