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Finding the Third Proportional to 51.98 and 108.97

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Solution

The third proportional to 51.98 and 108.97 is: 228.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.98 : 108.97 = 108.97 : x
  2. Step 2: Convert to fraction form
    51.98/108.97 = 108.97/x
  3. Step 3: Cross multiply
    51.98x = 108.97 × 108.97
  4. Step 4: Simplify right side
    51.98x = 11,874.19
  5. Step 5: Solve for x
    x = 11,874.19/51.98
  6. Step 6: Final answer
    x = 228.42

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.