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Finding the Third Proportional to 151.52 and 203.17

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Solution

The third proportional to 151.52 and 203.17 is: 272.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.52 : 203.17 = 203.17 : x
  2. Step 2: Convert to fraction form
    151.52/203.17 = 203.17/x
  3. Step 3: Cross multiply
    151.52x = 203.17 × 203.17
  4. Step 4: Simplify right side
    151.52x = 41,277.22
  5. Step 5: Solve for x
    x = 41,277.22/151.52
  6. Step 6: Final answer
    x = 272.41

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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.