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Finding the Third Proportional to 183.38 and 399.66

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Solution

The third proportional to 183.38 and 399.66 is: 871.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.38 : 399.66 = 399.66 : x
  2. Step 2: Convert to fraction form
    183.38/399.66 = 399.66/x
  3. Step 3: Cross multiply
    183.38x = 399.66 × 399.66
  4. Step 4: Simplify right side
    183.38x = 159,725.12
  5. Step 5: Solve for x
    x = 159,725.12/183.38
  6. Step 6: Final answer
    x = 871.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.