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Finding the Third Proportional to 81.19 and 126.05

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Solution

The third proportional to 81.19 and 126.05 is: 195.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.19 : 126.05 = 126.05 : x
  2. Step 2: Convert to fraction form
    81.19/126.05 = 126.05/x
  3. Step 3: Cross multiply
    81.19x = 126.05 × 126.05
  4. Step 4: Simplify right side
    81.19x = 15,887.81
  5. Step 5: Solve for x
    x = 15,887.81/81.19
  6. Step 6: Final answer
    x = 195.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.