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Finding the Third Proportional to 276,469 and 582,435

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Solution

The third proportional to 276,469 and 582,435 is: 1,227,011.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,469 : 582,435 = 582,435 : x
  2. Step 2: Convert to fraction form
    276,469/582,435 = 582,435/x
  3. Step 3: Cross multiply
    276,469x = 582,435 × 582,435
  4. Step 4: Simplify right side
    276,469x = 339,230,529,225
  5. Step 5: Solve for x
    x = 339,230,529,225/276,469
  6. Step 6: Final answer
    x = 1,227,011.09

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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.