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Finding the Third Proportional to 141.92 and 305.58

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Solution

The third proportional to 141.92 and 305.58 is: 657.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.92 : 305.58 = 305.58 : x
  2. Step 2: Convert to fraction form
    141.92/305.58 = 305.58/x
  3. Step 3: Cross multiply
    141.92x = 305.58 × 305.58
  4. Step 4: Simplify right side
    141.92x = 93,380.68
  5. Step 5: Solve for x
    x = 93,380.68/141.92
  6. Step 6: Final answer
    x = 657.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.