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Finding the Third Proportional to 449.25 and 942.38

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Solution

The third proportional to 449.25 and 942.38 is: 1,976.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.25 : 942.38 = 942.38 : x
  2. Step 2: Convert to fraction form
    449.25/942.38 = 942.38/x
  3. Step 3: Cross multiply
    449.25x = 942.38 × 942.38
  4. Step 4: Simplify right side
    449.25x = 888,070.64
  5. Step 5: Solve for x
    x = 888,070.64/449.25
  6. Step 6: Final answer
    x = 1,976.78

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.