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Finding the Third Proportional to 232,686 and 335,490.75

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Solution

The third proportional to 232,686 and 335,490.75 is: 483,716.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,686 : 335,490.75 = 335,490.75 : x
  2. Step 2: Convert to fraction form
    232,686/335,490.75 = 335,490.75/x
  3. Step 3: Cross multiply
    232,686x = 335,490.75 × 335,490.75
  4. Step 4: Simplify right side
    232,686x = 112,554,043,335.56
  5. Step 5: Solve for x
    x = 112,554,043,335.56/232,686
  6. Step 6: Final answer
    x = 483,716.44

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.