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Finding the Third Proportional to 122.59 and 190.11

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Solution

The third proportional to 122.59 and 190.11 is: 294.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.59 : 190.11 = 190.11 : x
  2. Step 2: Convert to fraction form
    122.59/190.11 = 190.11/x
  3. Step 3: Cross multiply
    122.59x = 190.11 × 190.11
  4. Step 4: Simplify right side
    122.59x = 36,140.83
  5. Step 5: Solve for x
    x = 36,140.83/122.59
  6. Step 6: Final answer
    x = 294.81

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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.