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Finding the Third Proportional to 51.98 and 105.84

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Solution

The third proportional to 51.98 and 105.84 is: 215.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.98 : 105.84 = 105.84 : x
  2. Step 2: Convert to fraction form
    51.98/105.84 = 105.84/x
  3. Step 3: Cross multiply
    51.98x = 105.84 × 105.84
  4. Step 4: Simplify right side
    51.98x = 11,202.90
  5. Step 5: Solve for x
    x = 11,202.90/51.98
  6. Step 6: Final answer
    x = 215.51

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.