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Finding the Third Proportional to 213,538 and 494,285

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Solution

The third proportional to 213,538 and 494,285 is: 1,144,141.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,538 : 494,285 = 494,285 : x
  2. Step 2: Convert to fraction form
    213,538/494,285 = 494,285/x
  3. Step 3: Cross multiply
    213,538x = 494,285 × 494,285
  4. Step 4: Simplify right side
    213,538x = 244,317,661,225
  5. Step 5: Solve for x
    x = 244,317,661,225/213,538
  6. Step 6: Final answer
    x = 1,144,141.38

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.