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Finding the Third Proportional to 418.38 and 1,012.75

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Solution

The third proportional to 418.38 and 1,012.75 is: 2,451.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.38 : 1,012.75 = 1,012.75 : x
  2. Step 2: Convert to fraction form
    418.38/1,012.75 = 1,012.75/x
  3. Step 3: Cross multiply
    418.38x = 1,012.75 × 1,012.75
  4. Step 4: Simplify right side
    418.38x = 1,025,662.56
  5. Step 5: Solve for x
    x = 1,025,662.56/418.38
  6. Step 6: Final answer
    x = 2,451.54

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.