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Finding the Third Proportional to 232,198.50 and 354,303

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Solution

The third proportional to 232,198.50 and 354,303 is: 540,617.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,198.50 : 354,303 = 354,303 : x
  2. Step 2: Convert to fraction form
    232,198.50/354,303 = 354,303/x
  3. Step 3: Cross multiply
    232,198.50x = 354,303 × 354,303
  4. Step 4: Simplify right side
    232,198.50x = 125,530,615,809
  5. Step 5: Solve for x
    x = 125,530,615,809/232,198.50
  6. Step 6: Final answer
    x = 540,617.69

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.