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Finding the Third Proportional to 74.19 and 119.85

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Solution

The third proportional to 74.19 and 119.85 is: 193.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.19 : 119.85 = 119.85 : x
  2. Step 2: Convert to fraction form
    74.19/119.85 = 119.85/x
  3. Step 3: Cross multiply
    74.19x = 119.85 × 119.85
  4. Step 4: Simplify right side
    74.19x = 14,364.40
  5. Step 5: Solve for x
    x = 14,364.40/74.19
  6. Step 6: Final answer
    x = 193.61

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.