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Finding the Third Proportional to 422.75 and 857.38

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Solution

The third proportional to 422.75 and 857.38 is: 1,738.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.75 : 857.38 = 857.38 : x
  2. Step 2: Convert to fraction form
    422.75/857.38 = 857.38/x
  3. Step 3: Cross multiply
    422.75x = 857.38 × 857.38
  4. Step 4: Simplify right side
    422.75x = 735,091.89
  5. Step 5: Solve for x
    x = 735,091.89/422.75
  6. Step 6: Final answer
    x = 1,738.83

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.