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Finding the Third Proportional to 218,409 and 329,154

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Solution

The third proportional to 218,409 and 329,154 is: 496,052.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,409 : 329,154 = 329,154 : x
  2. Step 2: Convert to fraction form
    218,409/329,154 = 329,154/x
  3. Step 3: Cross multiply
    218,409x = 329,154 × 329,154
  4. Step 4: Simplify right side
    218,409x = 108,342,355,716
  5. Step 5: Solve for x
    x = 108,342,355,716/218,409
  6. Step 6: Final answer
    x = 496,052.62

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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.