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Finding the Third Proportional to 79.25 and 106.38

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Solution

The third proportional to 79.25 and 106.38 is: 142.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.25 : 106.38 = 106.38 : x
  2. Step 2: Convert to fraction form
    79.25/106.38 = 106.38/x
  3. Step 3: Cross multiply
    79.25x = 106.38 × 106.38
  4. Step 4: Simplify right side
    79.25x = 11,315.64
  5. Step 5: Solve for x
    x = 11,315.64/79.25
  6. Step 6: Final answer
    x = 142.78

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.