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Finding the Third Proportional to 215,330 and 454,198

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Solution

The third proportional to 215,330 and 454,198 is: 958,044.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,330 : 454,198 = 454,198 : x
  2. Step 2: Convert to fraction form
    215,330/454,198 = 454,198/x
  3. Step 3: Cross multiply
    215,330x = 454,198 × 454,198
  4. Step 4: Simplify right side
    215,330x = 206,295,823,204
  5. Step 5: Solve for x
    x = 206,295,823,204/215,330
  6. Step 6: Final answer
    x = 958,044.97

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.