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Finding the Third Proportional to 311.44 and 436.56

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Solution

The third proportional to 311.44 and 436.56 is: 611.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.44 : 436.56 = 436.56 : x
  2. Step 2: Convert to fraction form
    311.44/436.56 = 436.56/x
  3. Step 3: Cross multiply
    311.44x = 436.56 × 436.56
  4. Step 4: Simplify right side
    311.44x = 190,586.82
  5. Step 5: Solve for x
    x = 190,586.82/311.44
  6. Step 6: Final answer
    x = 611.96

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.