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Finding the Third Proportional to 276,589 and 427,167

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Solution

The third proportional to 276,589 and 427,167 is: 659,721.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,589 : 427,167 = 427,167 : x
  2. Step 2: Convert to fraction form
    276,589/427,167 = 427,167/x
  3. Step 3: Cross multiply
    276,589x = 427,167 × 427,167
  4. Step 4: Simplify right side
    276,589x = 182,471,645,889
  5. Step 5: Solve for x
    x = 182,471,645,889/276,589
  6. Step 6: Final answer
    x = 659,721.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.