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Finding the Third Proportional to 422.25 and 927.75

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Solution

The third proportional to 422.25 and 927.75 is: 2,038.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.25 : 927.75 = 927.75 : x
  2. Step 2: Convert to fraction form
    422.25/927.75 = 927.75/x
  3. Step 3: Cross multiply
    422.25x = 927.75 × 927.75
  4. Step 4: Simplify right side
    422.25x = 860,720.06
  5. Step 5: Solve for x
    x = 860,720.06/422.25
  6. Step 6: Final answer
    x = 2,038.41

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.