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Finding the Third Proportional to 76.44 and 108.94

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Solution

The third proportional to 76.44 and 108.94 is: 155.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.44 : 108.94 = 108.94 : x
  2. Step 2: Convert to fraction form
    76.44/108.94 = 108.94/x
  3. Step 3: Cross multiply
    76.44x = 108.94 × 108.94
  4. Step 4: Simplify right side
    76.44x = 11,867.38
  5. Step 5: Solve for x
    x = 11,867.38/76.44
  6. Step 6: Final answer
    x = 155.26

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.