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Finding the Third Proportional to 422.75 and 591.50

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Solution

The third proportional to 422.75 and 591.50 is: 827.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.75 : 591.50 = 591.50 : x
  2. Step 2: Convert to fraction form
    422.75/591.50 = 591.50/x
  3. Step 3: Cross multiply
    422.75x = 591.50 × 591.50
  4. Step 4: Simplify right side
    422.75x = 349,872.25
  5. Step 5: Solve for x
    x = 349,872.25/422.75
  6. Step 6: Final answer
    x = 827.61

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.