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Finding the Third Proportional to 422.88 and 576.65

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Solution

The third proportional to 422.88 and 576.65 is: 786.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.88 : 576.65 = 576.65 : x
  2. Step 2: Convert to fraction form
    422.88/576.65 = 576.65/x
  3. Step 3: Cross multiply
    422.88x = 576.65 × 576.65
  4. Step 4: Simplify right side
    422.88x = 332,525.67
  5. Step 5: Solve for x
    x = 332,525.67/422.88
  6. Step 6: Final answer
    x = 786.34

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.