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Finding the Third Proportional to 69.19 and 107.56

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Solution

The third proportional to 69.19 and 107.56 is: 167.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.19 : 107.56 = 107.56 : x
  2. Step 2: Convert to fraction form
    69.19/107.56 = 107.56/x
  3. Step 3: Cross multiply
    69.19x = 107.56 × 107.56
  4. Step 4: Simplify right side
    69.19x = 11,569.69
  5. Step 5: Solve for x
    x = 11,569.69/69.19
  6. Step 6: Final answer
    x = 167.22

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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.