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Finding the Third Proportional to 79.44 and 103.06

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Solution

The third proportional to 79.44 and 103.06 is: 133.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.44 : 103.06 = 103.06 : x
  2. Step 2: Convert to fraction form
    79.44/103.06 = 103.06/x
  3. Step 3: Cross multiply
    79.44x = 103.06 × 103.06
  4. Step 4: Simplify right side
    79.44x = 10,621.88
  5. Step 5: Solve for x
    x = 10,621.88/79.44
  6. Step 6: Final answer
    x = 133.71

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.