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Finding the Third Proportional to 433.20 and 576.12

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Solution

The third proportional to 433.20 and 576.12 is: 766.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.20 : 576.12 = 576.12 : x
  2. Step 2: Convert to fraction form
    433.20/576.12 = 576.12/x
  3. Step 3: Cross multiply
    433.20x = 576.12 × 576.12
  4. Step 4: Simplify right side
    433.20x = 331,910.17
  5. Step 5: Solve for x
    x = 331,910.17/433.20
  6. Step 6: Final answer
    x = 766.18

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.