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Finding the Third Proportional to 51,108 and 111,216

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Solution

The third proportional to 51,108 and 111,216 is: 242,016.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,108 : 111,216 = 111,216 : x
  2. Step 2: Convert to fraction form
    51,108/111,216 = 111,216/x
  3. Step 3: Cross multiply
    51,108x = 111,216 × 111,216
  4. Step 4: Simplify right side
    51,108x = 12,368,998,656
  5. Step 5: Solve for x
    x = 12,368,998,656/51,108
  6. Step 6: Final answer
    x = 242,016.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.