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Finding the Third Proportional to 141.19 and 236.74

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Solution

The third proportional to 141.19 and 236.74 is: 396.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.19 : 236.74 = 236.74 : x
  2. Step 2: Convert to fraction form
    141.19/236.74 = 236.74/x
  3. Step 3: Cross multiply
    141.19x = 236.74 × 236.74
  4. Step 4: Simplify right side
    141.19x = 56,046.86
  5. Step 5: Solve for x
    x = 56,046.86/141.19
  6. Step 6: Final answer
    x = 396.97

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Why These Related Problems?

These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.