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Finding the Third Proportional to 51.19 and 108.94

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Solution

The third proportional to 51.19 and 108.94 is: 231.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.19 : 108.94 = 108.94 : x
  2. Step 2: Convert to fraction form
    51.19/108.94 = 108.94/x
  3. Step 3: Cross multiply
    51.19x = 108.94 × 108.94
  4. Step 4: Simplify right side
    51.19x = 11,867.38
  5. Step 5: Solve for x
    x = 11,867.38/51.19
  6. Step 6: Final answer
    x = 231.84

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.