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Finding the Third Proportional to 311.58 and 422.64

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Solution

The third proportional to 311.58 and 422.64 is: 573.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.58 : 422.64 = 422.64 : x
  2. Step 2: Convert to fraction form
    311.58/422.64 = 422.64/x
  3. Step 3: Cross multiply
    311.58x = 422.64 × 422.64
  4. Step 4: Simplify right side
    311.58x = 178,624.27
  5. Step 5: Solve for x
    x = 178,624.27/311.58
  6. Step 6: Final answer
    x = 573.28

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.