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Finding the Third Proportional to 267,974 and 426,561

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Solution

The third proportional to 267,974 and 426,561 is: 678,999.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,974 : 426,561 = 426,561 : x
  2. Step 2: Convert to fraction form
    267,974/426,561 = 426,561/x
  3. Step 3: Cross multiply
    267,974x = 426,561 × 426,561
  4. Step 4: Simplify right side
    267,974x = 181,954,286,721
  5. Step 5: Solve for x
    x = 181,954,286,721/267,974
  6. Step 6: Final answer
    x = 678,999.78

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.