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Finding the Third Proportional to 144.94 and 299.44

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Solution

The third proportional to 144.94 and 299.44 is: 618.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.94 : 299.44 = 299.44 : x
  2. Step 2: Convert to fraction form
    144.94/299.44 = 299.44/x
  3. Step 3: Cross multiply
    144.94x = 299.44 × 299.44
  4. Step 4: Simplify right side
    144.94x = 89,662.82
  5. Step 5: Solve for x
    x = 89,662.82/144.94
  6. Step 6: Final answer
    x = 618.63

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.