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Finding the Third Proportional to 398.67 and 858.09

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Solution

The third proportional to 398.67 and 858.09 is: 1,846.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.67 : 858.09 = 858.09 : x
  2. Step 2: Convert to fraction form
    398.67/858.09 = 858.09/x
  3. Step 3: Cross multiply
    398.67x = 858.09 × 858.09
  4. Step 4: Simplify right side
    398.67x = 736,324.88
  5. Step 5: Solve for x
    x = 736,324.88/398.67
  6. Step 6: Final answer
    x = 1,846.94

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.