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Finding the Third Proportional to 997.88 and 1,538.44

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Solution

The third proportional to 997.88 and 1,538.44 is: 2,371.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.88 : 1,538.44 = 1,538.44 : x
  2. Step 2: Convert to fraction form
    997.88/1,538.44 = 1,538.44/x
  3. Step 3: Cross multiply
    997.88x = 1,538.44 × 1,538.44
  4. Step 4: Simplify right side
    997.88x = 2,366,789.94
  5. Step 5: Solve for x
    x = 2,366,789.94/997.88
  6. Step 6: Final answer
    x = 2,371.83

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.