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Finding the Third Proportional to 217.83 and 479.11

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Solution

The third proportional to 217.83 and 479.11 is: 1,053.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.83 : 479.11 = 479.11 : x
  2. Step 2: Convert to fraction form
    217.83/479.11 = 479.11/x
  3. Step 3: Cross multiply
    217.83x = 479.11 × 479.11
  4. Step 4: Simplify right side
    217.83x = 229,545.79
  5. Step 5: Solve for x
    x = 229,545.79/217.83
  6. Step 6: Final answer
    x = 1,053.79

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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.