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Finding the Third Proportional to 400.69 and 951.09

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Solution

The third proportional to 400.69 and 951.09 is: 2,257.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.69 : 951.09 = 951.09 : x
  2. Step 2: Convert to fraction form
    400.69/951.09 = 951.09/x
  3. Step 3: Cross multiply
    400.69x = 951.09 × 951.09
  4. Step 4: Simplify right side
    400.69x = 904,579.32
  5. Step 5: Solve for x
    x = 904,579.32/400.69
  6. Step 6: Final answer
    x = 2,257.57

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.