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Finding the Third Proportional to 51.94 and 82.09

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Solution

The third proportional to 51.94 and 82.09 is: 129.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.94 : 82.09 = 82.09 : x
  2. Step 2: Convert to fraction form
    51.94/82.09 = 82.09/x
  3. Step 3: Cross multiply
    51.94x = 82.09 × 82.09
  4. Step 4: Simplify right side
    51.94x = 6,739.38
  5. Step 5: Solve for x
    x = 6,739.38/51.94
  6. Step 6: Final answer
    x = 129.76

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.