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Finding the Third Proportional to 69.86 and 151.73

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Solution

The third proportional to 69.86 and 151.73 is: 329.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.86 : 151.73 = 151.73 : x
  2. Step 2: Convert to fraction form
    69.86/151.73 = 151.73/x
  3. Step 3: Cross multiply
    69.86x = 151.73 × 151.73
  4. Step 4: Simplify right side
    69.86x = 23,023.32
  5. Step 5: Solve for x
    x = 23,023.32/69.86
  6. Step 6: Final answer
    x = 329.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.