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Finding the Third Proportional to 311.34 and 670.78

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Solution

The third proportional to 311.34 and 670.78 is: 1,445.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.34 : 670.78 = 670.78 : x
  2. Step 2: Convert to fraction form
    311.34/670.78 = 670.78/x
  3. Step 3: Cross multiply
    311.34x = 670.78 × 670.78
  4. Step 4: Simplify right side
    311.34x = 449,947.49
  5. Step 5: Solve for x
    x = 449,947.49/311.34
  6. Step 6: Final answer
    x = 1,445.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.