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Finding the Third Proportional to 55.21 and 118.76

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Solution

The third proportional to 55.21 and 118.76 is: 255.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.21 : 118.76 = 118.76 : x
  2. Step 2: Convert to fraction form
    55.21/118.76 = 118.76/x
  3. Step 3: Cross multiply
    55.21x = 118.76 × 118.76
  4. Step 4: Simplify right side
    55.21x = 14,103.42
  5. Step 5: Solve for x
    x = 14,103.42/55.21
  6. Step 6: Final answer
    x = 255.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.