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Finding the Third Proportional to 103.19 and 161.09

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Solution

The third proportional to 103.19 and 161.09 is: 251.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.19 : 161.09 = 161.09 : x
  2. Step 2: Convert to fraction form
    103.19/161.09 = 161.09/x
  3. Step 3: Cross multiply
    103.19x = 161.09 × 161.09
  4. Step 4: Simplify right side
    103.19x = 25,951.20
  5. Step 5: Solve for x
    x = 25,951.20/103.19
  6. Step 6: Final answer
    x = 251.50

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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.