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Finding the Third Proportional to 79.41 and 121.41

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Solution

The third proportional to 79.41 and 121.41 is: 185.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.41 : 121.41 = 121.41 : x
  2. Step 2: Convert to fraction form
    79.41/121.41 = 121.41/x
  3. Step 3: Cross multiply
    79.41x = 121.41 × 121.41
  4. Step 4: Simplify right side
    79.41x = 14,739.48
  5. Step 5: Solve for x
    x = 14,739.48/79.41
  6. Step 6: Final answer
    x = 185.62

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.