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Finding the Third Proportional to 686 and 1,393

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Solution

The third proportional to 686 and 1,393 is: 2,828.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    686 : 1,393 = 1,393 : x
  2. Step 2: Convert to fraction form
    686/1,393 = 1,393/x
  3. Step 3: Cross multiply
    686x = 1,393 × 1,393
  4. Step 4: Simplify right side
    686x = 1,940,449
  5. Step 5: Solve for x
    x = 1,940,449/686
  6. Step 6: Final answer
    x = 2,828.64

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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.