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Finding the Third Proportional to 267,979 and 426,568

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Solution

The third proportional to 267,979 and 426,568 is: 679,009.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,979 : 426,568 = 426,568 : x
  2. Step 2: Convert to fraction form
    267,979/426,568 = 426,568/x
  3. Step 3: Cross multiply
    267,979x = 426,568 × 426,568
  4. Step 4: Simplify right side
    267,979x = 181,960,258,624
  5. Step 5: Solve for x
    x = 181,960,258,624/267,979
  6. Step 6: Final answer
    x = 679,009.39

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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.