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Finding the Third Proportional to 51.05 and 73.83

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Solution

The third proportional to 51.05 and 73.83 is: 106.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.05 : 73.83 = 73.83 : x
  2. Step 2: Convert to fraction form
    51.05/73.83 = 73.83/x
  3. Step 3: Cross multiply
    51.05x = 73.83 × 73.83
  4. Step 4: Simplify right side
    51.05x = 5,450.59
  5. Step 5: Solve for x
    x = 5,450.59/51.05
  6. Step 6: Final answer
    x = 106.78

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.