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Finding the Third Proportional to 213.69 and 327.56

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Solution

The third proportional to 213.69 and 327.56 is: 502.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.69 : 327.56 = 327.56 : x
  2. Step 2: Convert to fraction form
    213.69/327.56 = 327.56/x
  3. Step 3: Cross multiply
    213.69x = 327.56 × 327.56
  4. Step 4: Simplify right side
    213.69x = 107,297.19
  5. Step 5: Solve for x
    x = 107,297.19/213.69
  6. Step 6: Final answer
    x = 502.12

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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.