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Finding the Third Proportional to 311.50 and 332

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Solution

The third proportional to 311.50 and 332 is: 353.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.50 : 332 = 332 : x
  2. Step 2: Convert to fraction form
    311.50/332 = 332/x
  3. Step 3: Cross multiply
    311.50x = 332 × 332
  4. Step 4: Simplify right side
    311.50x = 110,224
  5. Step 5: Solve for x
    x = 110,224/311.50
  6. Step 6: Final answer
    x = 353.85

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.