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Finding the Third Proportional to 311.44 and 460.78

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Solution

The third proportional to 311.44 and 460.78 is: 681.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.44 : 460.78 = 460.78 : x
  2. Step 2: Convert to fraction form
    311.44/460.78 = 460.78/x
  3. Step 3: Cross multiply
    311.44x = 460.78 × 460.78
  4. Step 4: Simplify right side
    311.44x = 212,319.36
  5. Step 5: Solve for x
    x = 212,319.36/311.44
  6. Step 6: Final answer
    x = 681.74

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.