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Finding the Third Proportional to 101.44 and 219.31

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Solution

The third proportional to 101.44 and 219.31 is: 474.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.44 : 219.31 = 219.31 : x
  2. Step 2: Convert to fraction form
    101.44/219.31 = 219.31/x
  3. Step 3: Cross multiply
    101.44x = 219.31 × 219.31
  4. Step 4: Simplify right side
    101.44x = 48,097.97
  5. Step 5: Solve for x
    x = 48,097.97/101.44
  6. Step 6: Final answer
    x = 474.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.