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Finding the Third Proportional to 104.10 and 161.21

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Solution

The third proportional to 104.10 and 161.21 is: 249.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.10 : 161.21 = 161.21 : x
  2. Step 2: Convert to fraction form
    104.10/161.21 = 161.21/x
  3. Step 3: Cross multiply
    104.10x = 161.21 × 161.21
  4. Step 4: Simplify right side
    104.10x = 25,988.34
  5. Step 5: Solve for x
    x = 25,988.34/104.10
  6. Step 6: Final answer
    x = 249.65

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.