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Finding the Third Proportional to 122.38 and 195.94

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Solution

The third proportional to 122.38 and 195.94 is: 313.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.38 : 195.94 = 195.94 : x
  2. Step 2: Convert to fraction form
    122.38/195.94 = 195.94/x
  3. Step 3: Cross multiply
    122.38x = 195.94 × 195.94
  4. Step 4: Simplify right side
    122.38x = 38,391.50
  5. Step 5: Solve for x
    x = 38,391.50/122.38
  6. Step 6: Final answer
    x = 313.72

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.