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Finding the Third Proportional to 276,966 and 396,063

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Solution

The third proportional to 276,966 and 396,063 is: 566,372.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,966 : 396,063 = 396,063 : x
  2. Step 2: Convert to fraction form
    276,966/396,063 = 396,063/x
  3. Step 3: Cross multiply
    276,966x = 396,063 × 396,063
  4. Step 4: Simplify right side
    276,966x = 156,865,899,969
  5. Step 5: Solve for x
    x = 156,865,899,969/276,966
  6. Step 6: Final answer
    x = 566,372.41

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.