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Finding the Third Proportional to 141.49 and 308.61

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Solution

The third proportional to 141.49 and 308.61 is: 673.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.49 : 308.61 = 308.61 : x
  2. Step 2: Convert to fraction form
    141.49/308.61 = 308.61/x
  3. Step 3: Cross multiply
    141.49x = 308.61 × 308.61
  4. Step 4: Simplify right side
    141.49x = 95,243.06
  5. Step 5: Solve for x
    x = 95,243.06/141.49
  6. Step 6: Final answer
    x = 673.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.