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Finding the Third Proportional to 135,977 and 298,872

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Solution

The third proportional to 135,977 and 298,872 is: 656,908.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,977 : 298,872 = 298,872 : x
  2. Step 2: Convert to fraction form
    135,977/298,872 = 298,872/x
  3. Step 3: Cross multiply
    135,977x = 298,872 × 298,872
  4. Step 4: Simplify right side
    135,977x = 89,324,472,384
  5. Step 5: Solve for x
    x = 89,324,472,384/135,977
  6. Step 6: Final answer
    x = 656,908.69

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.