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Finding the Third Proportional to 408,500 and 897,635

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Solution

The third proportional to 408,500 and 897,635 is: 1,972,456.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,500 : 897,635 = 897,635 : x
  2. Step 2: Convert to fraction form
    408,500/897,635 = 897,635/x
  3. Step 3: Cross multiply
    408,500x = 897,635 × 897,635
  4. Step 4: Simplify right side
    408,500x = 805,748,593,225
  5. Step 5: Solve for x
    x = 805,748,593,225/408,500
  6. Step 6: Final answer
    x = 1,972,456.78

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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.