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Finding the Third Proportional to 238.25 and 357.38

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Solution

The third proportional to 238.25 and 357.38 is: 536.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.25 : 357.38 = 357.38 : x
  2. Step 2: Convert to fraction form
    238.25/357.38 = 357.38/x
  3. Step 3: Cross multiply
    238.25x = 357.38 × 357.38
  4. Step 4: Simplify right side
    238.25x = 127,721.08
  5. Step 5: Solve for x
    x = 127,721.08/238.25
  6. Step 6: Final answer
    x = 536.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.