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Finding the Third Proportional to 232.19 and 496.38

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Solution

The third proportional to 232.19 and 496.38 is: 1,061.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.19 : 496.38 = 496.38 : x
  2. Step 2: Convert to fraction form
    232.19/496.38 = 496.38/x
  3. Step 3: Cross multiply
    232.19x = 496.38 × 496.38
  4. Step 4: Simplify right side
    232.19x = 246,388.14
  5. Step 5: Solve for x
    x = 246,388.14/232.19
  6. Step 6: Final answer
    x = 1,061.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.