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Finding the Third Proportional to 79.38 and 122.88

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Solution

The third proportional to 79.38 and 122.88 is: 190.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.38 : 122.88 = 122.88 : x
  2. Step 2: Convert to fraction form
    79.38/122.88 = 122.88/x
  3. Step 3: Cross multiply
    79.38x = 122.88 × 122.88
  4. Step 4: Simplify right side
    79.38x = 15,098.27
  5. Step 5: Solve for x
    x = 15,098.27/79.38
  6. Step 6: Final answer
    x = 190.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.