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Finding the Third Proportional to 218.53 and 328.22

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Solution

The third proportional to 218.53 and 328.22 is: 492.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.53 : 328.22 = 328.22 : x
  2. Step 2: Convert to fraction form
    218.53/328.22 = 328.22/x
  3. Step 3: Cross multiply
    218.53x = 328.22 × 328.22
  4. Step 4: Simplify right side
    218.53x = 107,727.55
  5. Step 5: Solve for x
    x = 107,727.55/218.53
  6. Step 6: Final answer
    x = 492.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.