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Finding the Third Proportional to 694.78 and 1,660.97

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Solution

The third proportional to 694.78 and 1,660.97 is: 3,970.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.78 : 1,660.97 = 1,660.97 : x
  2. Step 2: Convert to fraction form
    694.78/1,660.97 = 1,660.97/x
  3. Step 3: Cross multiply
    694.78x = 1,660.97 × 1,660.97
  4. Step 4: Simplify right side
    694.78x = 2,758,817.19
  5. Step 5: Solve for x
    x = 2,758,817.19/694.78
  6. Step 6: Final answer
    x = 3,970.77

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.