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Finding the Third Proportional to 141.66 and 334.92

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Solution

The third proportional to 141.66 and 334.92 is: 791.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.66 : 334.92 = 334.92 : x
  2. Step 2: Convert to fraction form
    141.66/334.92 = 334.92/x
  3. Step 3: Cross multiply
    141.66x = 334.92 × 334.92
  4. Step 4: Simplify right side
    141.66x = 112,172.66
  5. Step 5: Solve for x
    x = 112,172.66/141.66
  6. Step 6: Final answer
    x = 791.87

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.