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Finding the Third Proportional to 102,890 and 225,474

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Solution

The third proportional to 102,890 and 225,474 is: 494,105.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,890 : 225,474 = 225,474 : x
  2. Step 2: Convert to fraction form
    102,890/225,474 = 225,474/x
  3. Step 3: Cross multiply
    102,890x = 225,474 × 225,474
  4. Step 4: Simplify right side
    102,890x = 50,838,524,676
  5. Step 5: Solve for x
    x = 50,838,524,676/102,890
  6. Step 6: Final answer
    x = 494,105.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.