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Finding the Third Proportional to 311.44 and 682.69

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Solution

The third proportional to 311.44 and 682.69 is: 1,496.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.44 : 682.69 = 682.69 : x
  2. Step 2: Convert to fraction form
    311.44/682.69 = 682.69/x
  3. Step 3: Cross multiply
    311.44x = 682.69 × 682.69
  4. Step 4: Simplify right side
    311.44x = 466,062.22
  5. Step 5: Solve for x
    x = 466,062.22/311.44
  6. Step 6: Final answer
    x = 1,496.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.