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Finding the Third Proportional to 685.97 and 971.44

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Solution

The third proportional to 685.97 and 971.44 is: 1,375.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.97 : 971.44 = 971.44 : x
  2. Step 2: Convert to fraction form
    685.97/971.44 = 971.44/x
  3. Step 3: Cross multiply
    685.97x = 971.44 × 971.44
  4. Step 4: Simplify right side
    685.97x = 943,690.82
  5. Step 5: Solve for x
    x = 943,690.82/685.97
  6. Step 6: Final answer
    x = 1,375.71

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.