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Finding the Third Proportional to 51.23 and 108.09

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Solution

The third proportional to 51.23 and 108.09 is: 228.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.23 : 108.09 = 108.09 : x
  2. Step 2: Convert to fraction form
    51.23/108.09 = 108.09/x
  3. Step 3: Cross multiply
    51.23x = 108.09 × 108.09
  4. Step 4: Simplify right side
    51.23x = 11,684.26
  5. Step 5: Solve for x
    x = 11,684.26/51.23
  6. Step 6: Final answer
    x = 228.06

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.