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Finding the Third Proportional to 51.36 and 110.82

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Solution

The third proportional to 51.36 and 110.82 is: 239.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.36 : 110.82 = 110.82 : x
  2. Step 2: Convert to fraction form
    51.36/110.82 = 110.82/x
  3. Step 3: Cross multiply
    51.36x = 110.82 × 110.82
  4. Step 4: Simplify right side
    51.36x = 12,282.18
  5. Step 5: Solve for x
    x = 12,282.18/51.36
  6. Step 6: Final answer
    x = 239.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.