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Finding the Third Proportional to 299.95 and 694.83

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Solution

The third proportional to 299.95 and 694.83 is: 1,609.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.95 : 694.83 = 694.83 : x
  2. Step 2: Convert to fraction form
    299.95/694.83 = 694.83/x
  3. Step 3: Cross multiply
    299.95x = 694.83 × 694.83
  4. Step 4: Simplify right side
    299.95x = 482,786.12
  5. Step 5: Solve for x
    x = 482,786.12/299.95
  6. Step 6: Final answer
    x = 1,609.54

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.