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Finding the Third Proportional to 439.88 and 996.94

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Solution

The third proportional to 439.88 and 996.94 is: 2,259.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.88 : 996.94 = 996.94 : x
  2. Step 2: Convert to fraction form
    439.88/996.94 = 996.94/x
  3. Step 3: Cross multiply
    439.88x = 996.94 × 996.94
  4. Step 4: Simplify right side
    439.88x = 993,884.38
  5. Step 5: Solve for x
    x = 993,884.38/439.88
  6. Step 6: Final answer
    x = 2,259.47

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.