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Finding the Third Proportional to 218,414 and 339,285

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Solution

The third proportional to 218,414 and 339,285 is: 527,046.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,414 : 339,285 = 339,285 : x
  2. Step 2: Convert to fraction form
    218,414/339,285 = 339,285/x
  3. Step 3: Cross multiply
    218,414x = 339,285 × 339,285
  4. Step 4: Simplify right side
    218,414x = 115,114,311,225
  5. Step 5: Solve for x
    x = 115,114,311,225/218,414
  6. Step 6: Final answer
    x = 527,046.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.