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Finding the Third Proportional to 133.17 and 151.73

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Solution

The third proportional to 133.17 and 151.73 is: 172.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.17 : 151.73 = 151.73 : x
  2. Step 2: Convert to fraction form
    133.17/151.73 = 151.73/x
  3. Step 3: Cross multiply
    133.17x = 151.73 × 151.73
  4. Step 4: Simplify right side
    133.17x = 23,023.32
  5. Step 5: Solve for x
    x = 23,023.32/133.17
  6. Step 6: Final answer
    x = 172.88

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.