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Finding the Third Proportional to 79.19 and 122.56

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Solution

The third proportional to 79.19 and 122.56 is: 189.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.19 : 122.56 = 122.56 : x
  2. Step 2: Convert to fraction form
    79.19/122.56 = 122.56/x
  3. Step 3: Cross multiply
    79.19x = 122.56 × 122.56
  4. Step 4: Simplify right side
    79.19x = 15,021.57
  5. Step 5: Solve for x
    x = 15,021.57/79.19
  6. Step 6: Final answer
    x = 189.70

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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.