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Finding the Third Proportional to 217.85 and 333.18

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Solution

The third proportional to 217.85 and 333.18 is: 509.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.85 : 333.18 = 333.18 : x
  2. Step 2: Convert to fraction form
    217.85/333.18 = 333.18/x
  3. Step 3: Cross multiply
    217.85x = 333.18 × 333.18
  4. Step 4: Simplify right side
    217.85x = 111,006.10
  5. Step 5: Solve for x
    x = 111,006.10/217.85
  6. Step 6: Final answer
    x = 509.56

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.