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Finding the Third Proportional to 51.92 and 71.99

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Solution

The third proportional to 51.92 and 71.99 is: 99.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.92 : 71.99 = 71.99 : x
  2. Step 2: Convert to fraction form
    51.92/71.99 = 71.99/x
  3. Step 3: Cross multiply
    51.92x = 71.99 × 71.99
  4. Step 4: Simplify right side
    51.92x = 5,182.88
  5. Step 5: Solve for x
    x = 5,182.88/51.92
  6. Step 6: Final answer
    x = 99.82

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.