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Finding the Third Proportional to 422.13 and 635.94

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Solution

The third proportional to 422.13 and 635.94 is: 958.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.13 : 635.94 = 635.94 : x
  2. Step 2: Convert to fraction form
    422.13/635.94 = 635.94/x
  3. Step 3: Cross multiply
    422.13x = 635.94 × 635.94
  4. Step 4: Simplify right side
    422.13x = 404,416.50
  5. Step 5: Solve for x
    x = 404,416.50/422.13
  6. Step 6: Final answer
    x = 958.05

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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.