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Finding the Third Proportional to 217,233 and 454,311

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Solution

The third proportional to 217,233 and 454,311 is: 950,124.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,233 : 454,311 = 454,311 : x
  2. Step 2: Convert to fraction form
    217,233/454,311 = 454,311/x
  3. Step 3: Cross multiply
    217,233x = 454,311 × 454,311
  4. Step 4: Simplify right side
    217,233x = 206,398,484,721
  5. Step 5: Solve for x
    x = 206,398,484,721/217,233
  6. Step 6: Final answer
    x = 950,124.91

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.