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Finding the Third Proportional to 101.44 and 206.91

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Solution

The third proportional to 101.44 and 206.91 is: 422.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.44 : 206.91 = 206.91 : x
  2. Step 2: Convert to fraction form
    101.44/206.91 = 206.91/x
  3. Step 3: Cross multiply
    101.44x = 206.91 × 206.91
  4. Step 4: Simplify right side
    101.44x = 42,810.20
  5. Step 5: Solve for x
    x = 42,810.20/101.44
  6. Step 6: Final answer
    x = 422.04

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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.