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Finding the Third Proportional to 218,474 and 329,250

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Solution

The third proportional to 218,474 and 329,250 is: 496,194.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,474 : 329,250 = 329,250 : x
  2. Step 2: Convert to fraction form
    218,474/329,250 = 329,250/x
  3. Step 3: Cross multiply
    218,474x = 329,250 × 329,250
  4. Step 4: Simplify right side
    218,474x = 108,405,562,500
  5. Step 5: Solve for x
    x = 108,405,562,500/218,474
  6. Step 6: Final answer
    x = 496,194.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.