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Finding the Third Proportional to 103.69 and 161.81

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Solution

The third proportional to 103.69 and 161.81 is: 252.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.69 : 161.81 = 161.81 : x
  2. Step 2: Convert to fraction form
    103.69/161.81 = 161.81/x
  3. Step 3: Cross multiply
    103.69x = 161.81 × 161.81
  4. Step 4: Simplify right side
    103.69x = 26,183.29
  5. Step 5: Solve for x
    x = 26,183.29/103.69
  6. Step 6: Final answer
    x = 252.52

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.