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Finding the Third Proportional to 218,397 and 329,135

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Solution

The third proportional to 218,397 and 329,135 is: 496,022.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,397 : 329,135 = 329,135 : x
  2. Step 2: Convert to fraction form
    218,397/329,135 = 329,135/x
  3. Step 3: Cross multiply
    218,397x = 329,135 × 329,135
  4. Step 4: Simplify right side
    218,397x = 108,329,848,225
  5. Step 5: Solve for x
    x = 108,329,848,225/218,397
  6. Step 6: Final answer
    x = 496,022.60

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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.