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Finding the Third Proportional to 225,288 and 494,640

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Solution

The third proportional to 225,288 and 494,640 is: 1,086,026.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,288 : 494,640 = 494,640 : x
  2. Step 2: Convert to fraction form
    225,288/494,640 = 494,640/x
  3. Step 3: Cross multiply
    225,288x = 494,640 × 494,640
  4. Step 4: Simplify right side
    225,288x = 244,668,729,600
  5. Step 5: Solve for x
    x = 244,668,729,600/225,288
  6. Step 6: Final answer
    x = 1,086,026.46

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.