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Finding the Third Proportional to 55.44 and 149.09

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Solution

The third proportional to 55.44 and 149.09 is: 400.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.44 : 149.09 = 149.09 : x
  2. Step 2: Convert to fraction form
    55.44/149.09 = 149.09/x
  3. Step 3: Cross multiply
    55.44x = 149.09 × 149.09
  4. Step 4: Simplify right side
    55.44x = 22,228.95
  5. Step 5: Solve for x
    x = 22,228.95/55.44
  6. Step 6: Final answer
    x = 400.97

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Why These Related Problems?

These problems maintain the same ratio (2.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.