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Finding the Third Proportional to 122.45 and 190.97

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Solution

The third proportional to 122.45 and 190.97 is: 297.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.45 : 190.97 = 190.97 : x
  2. Step 2: Convert to fraction form
    122.45/190.97 = 190.97/x
  3. Step 3: Cross multiply
    122.45x = 190.97 × 190.97
  4. Step 4: Simplify right side
    122.45x = 36,469.90
  5. Step 5: Solve for x
    x = 36,469.90/122.45
  6. Step 6: Final answer
    x = 297.84

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.