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Finding the Third Proportional to 218,396.50 and 329,134

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Solution

The third proportional to 218,396.50 and 329,134 is: 496,020.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,396.50 : 329,134 = 329,134 : x
  2. Step 2: Convert to fraction form
    218,396.50/329,134 = 329,134/x
  3. Step 3: Cross multiply
    218,396.50x = 329,134 × 329,134
  4. Step 4: Simplify right side
    218,396.50x = 108,329,189,956
  5. Step 5: Solve for x
    x = 108,329,189,956/218,396.50
  6. Step 6: Final answer
    x = 496,020.72

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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.