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Finding the Third Proportional to 422.25 and 639.13

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Solution

The third proportional to 422.25 and 639.13 is: 967.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.25 : 639.13 = 639.13 : x
  2. Step 2: Convert to fraction form
    422.25/639.13 = 639.13/x
  3. Step 3: Cross multiply
    422.25x = 639.13 × 639.13
  4. Step 4: Simplify right side
    422.25x = 408,480.77
  5. Step 5: Solve for x
    x = 408,480.77/422.25
  6. Step 6: Final answer
    x = 967.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.