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Finding the Third Proportional to 69.84 and 106.56

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Solution

The third proportional to 69.84 and 106.56 is: 162.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.84 : 106.56 = 106.56 : x
  2. Step 2: Convert to fraction form
    69.84/106.56 = 106.56/x
  3. Step 3: Cross multiply
    69.84x = 106.56 × 106.56
  4. Step 4: Simplify right side
    69.84x = 11,355.57
  5. Step 5: Solve for x
    x = 11,355.57/69.84
  6. Step 6: Final answer
    x = 162.59

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.