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Finding the Third Proportional to 218.21 and 311.03

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Solution

The third proportional to 218.21 and 311.03 is: 443.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.21 : 311.03 = 311.03 : x
  2. Step 2: Convert to fraction form
    218.21/311.03 = 311.03/x
  3. Step 3: Cross multiply
    218.21x = 311.03 × 311.03
  4. Step 4: Simplify right side
    218.21x = 96,738.01
  5. Step 5: Solve for x
    x = 96,738.01/218.21
  6. Step 6: Final answer
    x = 443.32

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.