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Finding the Third Proportional to 51.19 and 110.46

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Solution

The third proportional to 51.19 and 110.46 is: 238.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.19 : 110.46 = 110.46 : x
  2. Step 2: Convert to fraction form
    51.19/110.46 = 110.46/x
  3. Step 3: Cross multiply
    51.19x = 110.46 × 110.46
  4. Step 4: Simplify right side
    51.19x = 12,201.62
  5. Step 5: Solve for x
    x = 12,201.62/51.19
  6. Step 6: Final answer
    x = 238.37

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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.