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Finding the Third Proportional to 151.97 and 338.16

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Solution

The third proportional to 151.97 and 338.16 is: 752.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.97 : 338.16 = 338.16 : x
  2. Step 2: Convert to fraction form
    151.97/338.16 = 338.16/x
  3. Step 3: Cross multiply
    151.97x = 338.16 × 338.16
  4. Step 4: Simplify right side
    151.97x = 114,349.65
  5. Step 5: Solve for x
    x = 114,349.65/151.97
  6. Step 6: Final answer
    x = 752.46

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.