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Finding the Third Proportional to 232.25 and 339.50

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Solution

The third proportional to 232.25 and 339.50 is: 496.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.25 : 339.50 = 339.50 : x
  2. Step 2: Convert to fraction form
    232.25/339.50 = 339.50/x
  3. Step 3: Cross multiply
    232.25x = 339.50 × 339.50
  4. Step 4: Simplify right side
    232.25x = 115,260.25
  5. Step 5: Solve for x
    x = 115,260.25/232.25
  6. Step 6: Final answer
    x = 496.28

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.