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Finding the Third Proportional to 218.75 and 311.69

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Solution

The third proportional to 218.75 and 311.69 is: 444.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.75 : 311.69 = 311.69 : x
  2. Step 2: Convert to fraction form
    218.75/311.69 = 311.69/x
  3. Step 3: Cross multiply
    218.75x = 311.69 × 311.69
  4. Step 4: Simplify right side
    218.75x = 97,149.10
  5. Step 5: Solve for x
    x = 97,149.10/218.75
  6. Step 6: Final answer
    x = 444.11

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.