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Finding the Third Proportional to 69.19 and 146.81

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Solution

The third proportional to 69.19 and 146.81 is: 311.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.19 : 146.81 = 146.81 : x
  2. Step 2: Convert to fraction form
    69.19/146.81 = 146.81/x
  3. Step 3: Cross multiply
    69.19x = 146.81 × 146.81
  4. Step 4: Simplify right side
    69.19x = 21,553.91
  5. Step 5: Solve for x
    x = 21,553.91/69.19
  6. Step 6: Final answer
    x = 311.53

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.