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Finding the Third Proportional to 218,956 and 329,406

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Solution

The third proportional to 218,956 and 329,406 is: 495,571.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,956 : 329,406 = 329,406 : x
  2. Step 2: Convert to fraction form
    218,956/329,406 = 329,406/x
  3. Step 3: Cross multiply
    218,956x = 329,406 × 329,406
  4. Step 4: Simplify right side
    218,956x = 108,508,312,836
  5. Step 5: Solve for x
    x = 108,508,312,836/218,956
  6. Step 6: Final answer
    x = 495,571.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.