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Finding the Third Proportional to 218.41 and 324.66

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Solution

The third proportional to 218.41 and 324.66 is: 482.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.41 : 324.66 = 324.66 : x
  2. Step 2: Convert to fraction form
    218.41/324.66 = 324.66/x
  3. Step 3: Cross multiply
    218.41x = 324.66 × 324.66
  4. Step 4: Simplify right side
    218.41x = 105,401.68
  5. Step 5: Solve for x
    x = 105,401.68/218.41
  6. Step 6: Final answer
    x = 482.58

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.