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Finding the Third Proportional to 55.13 and 119.44

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Solution

The third proportional to 55.13 and 119.44 is: 258.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.13 : 119.44 = 119.44 : x
  2. Step 2: Convert to fraction form
    55.13/119.44 = 119.44/x
  3. Step 3: Cross multiply
    55.13x = 119.44 × 119.44
  4. Step 4: Simplify right side
    55.13x = 14,266.72
  5. Step 5: Solve for x
    x = 14,266.72/55.13
  6. Step 6: Final answer
    x = 258.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.