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Finding the Third Proportional to 50.14 and 80.99

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Solution

The third proportional to 50.14 and 80.99 is: 130.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.14 : 80.99 = 80.99 : x
  2. Step 2: Convert to fraction form
    50.14/80.99 = 80.99/x
  3. Step 3: Cross multiply
    50.14x = 80.99 × 80.99
  4. Step 4: Simplify right side
    50.14x = 6,559.57
  5. Step 5: Solve for x
    x = 6,559.57/50.14
  6. Step 6: Final answer
    x = 130.83

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.