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Finding the Third Proportional to 203.29 and 272.27

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Solution

The third proportional to 203.29 and 272.27 is: 364.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.29 : 272.27 = 272.27 : x
  2. Step 2: Convert to fraction form
    203.29/272.27 = 272.27/x
  3. Step 3: Cross multiply
    203.29x = 272.27 × 272.27
  4. Step 4: Simplify right side
    203.29x = 74,129.63
  5. Step 5: Solve for x
    x = 74,129.63/203.29
  6. Step 6: Final answer
    x = 364.65

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.