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Finding the Third Proportional to 141.75 and 161.09

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Solution

The third proportional to 141.75 and 161.09 is: 183.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.75 : 161.09 = 161.09 : x
  2. Step 2: Convert to fraction form
    141.75/161.09 = 161.09/x
  3. Step 3: Cross multiply
    141.75x = 161.09 × 161.09
  4. Step 4: Simplify right side
    141.75x = 25,948.68
  5. Step 5: Solve for x
    x = 25,948.68/141.75
  6. Step 6: Final answer
    x = 183.06

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.