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Finding the Third Proportional to 103.97 and 211.69

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Solution

The third proportional to 103.97 and 211.69 is: 431.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.97 : 211.69 = 211.69 : x
  2. Step 2: Convert to fraction form
    103.97/211.69 = 211.69/x
  3. Step 3: Cross multiply
    103.97x = 211.69 × 211.69
  4. Step 4: Simplify right side
    103.97x = 44,811.60
  5. Step 5: Solve for x
    x = 44,811.60/103.97
  6. Step 6: Final answer
    x = 431.01

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.