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Finding the Third Proportional to 638.82 and 1,334.92

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Solution

The third proportional to 638.82 and 1,334.92 is: 2,789.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.82 : 1,334.92 = 1,334.92 : x
  2. Step 2: Convert to fraction form
    638.82/1,334.92 = 1,334.92/x
  3. Step 3: Cross multiply
    638.82x = 1,334.92 × 1,334.92
  4. Step 4: Simplify right side
    638.82x = 1,782,005.98
  5. Step 5: Solve for x
    x = 1,782,005.98/638.82
  6. Step 6: Final answer
    x = 2,789.51

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.