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Finding the Third Proportional to 105,221 and 225,245

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Solution

The third proportional to 105,221 and 225,245 is: 482,178.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,221 : 225,245 = 225,245 : x
  2. Step 2: Convert to fraction form
    105,221/225,245 = 225,245/x
  3. Step 3: Cross multiply
    105,221x = 225,245 × 225,245
  4. Step 4: Simplify right side
    105,221x = 50,735,310,025
  5. Step 5: Solve for x
    x = 50,735,310,025/105,221
  6. Step 6: Final answer
    x = 482,178.56

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.