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Finding the Third Proportional to 399.38 and 960.94

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Solution

The third proportional to 399.38 and 960.94 is: 2,312.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.38 : 960.94 = 960.94 : x
  2. Step 2: Convert to fraction form
    399.38/960.94 = 960.94/x
  3. Step 3: Cross multiply
    399.38x = 960.94 × 960.94
  4. Step 4: Simplify right side
    399.38x = 923,400.88
  5. Step 5: Solve for x
    x = 923,400.88/399.38
  6. Step 6: Final answer
    x = 2,312.11

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.