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Finding the Third Proportional to 76.29 and 108.70

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Solution

The third proportional to 76.29 and 108.70 is: 154.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.29 : 108.70 = 108.70 : x
  2. Step 2: Convert to fraction form
    76.29/108.70 = 108.70/x
  3. Step 3: Cross multiply
    76.29x = 108.70 × 108.70
  4. Step 4: Simplify right side
    76.29x = 11,816.37
  5. Step 5: Solve for x
    x = 11,816.37/76.29
  6. Step 6: Final answer
    x = 154.89

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.