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Finding the Third Proportional to 68.13 and 161.31

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Solution

The third proportional to 68.13 and 161.31 is: 381.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.13 : 161.31 = 161.31 : x
  2. Step 2: Convert to fraction form
    68.13/161.31 = 161.31/x
  3. Step 3: Cross multiply
    68.13x = 161.31 × 161.31
  4. Step 4: Simplify right side
    68.13x = 26,021.72
  5. Step 5: Solve for x
    x = 26,021.72/68.13
  6. Step 6: Final answer
    x = 381.97

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.