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Finding the Third Proportional to 825.82 and 1,238.73

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Solution

The third proportional to 825.82 and 1,238.73 is: 1,858.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.82 : 1,238.73 = 1,238.73 : x
  2. Step 2: Convert to fraction form
    825.82/1,238.73 = 1,238.73/x
  3. Step 3: Cross multiply
    825.82x = 1,238.73 × 1,238.73
  4. Step 4: Simplify right side
    825.82x = 1,534,453.17
  5. Step 5: Solve for x
    x = 1,534,453.17/825.82
  6. Step 6: Final answer
    x = 1,858.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.