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Finding the Third Proportional to 450.94 and 629.72

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Solution

The third proportional to 450.94 and 629.72 is: 879.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.94 : 629.72 = 629.72 : x
  2. Step 2: Convert to fraction form
    450.94/629.72 = 629.72/x
  3. Step 3: Cross multiply
    450.94x = 629.72 × 629.72
  4. Step 4: Simplify right side
    450.94x = 396,545.70
  5. Step 5: Solve for x
    x = 396,545.70/450.94
  6. Step 6: Final answer
    x = 879.38

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.