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Finding the Third Proportional to 218,400 and 329,139

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Solution

The third proportional to 218,400 and 329,139 is: 496,027.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,400 : 329,139 = 329,139 : x
  2. Step 2: Convert to fraction form
    218,400/329,139 = 329,139/x
  3. Step 3: Cross multiply
    218,400x = 329,139 × 329,139
  4. Step 4: Simplify right side
    218,400x = 108,332,481,321
  5. Step 5: Solve for x
    x = 108,332,481,321/218,400
  6. Step 6: Final answer
    x = 496,027.84

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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.