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Finding the Third Proportional to 408,474 and 897,579

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Solution

The third proportional to 408,474 and 897,579 is: 1,972,336.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,474 : 897,579 = 897,579 : x
  2. Step 2: Convert to fraction form
    408,474/897,579 = 897,579/x
  3. Step 3: Cross multiply
    408,474x = 897,579 × 897,579
  4. Step 4: Simplify right side
    408,474x = 805,648,061,241
  5. Step 5: Solve for x
    x = 805,648,061,241/408,474
  6. Step 6: Final answer
    x = 1,972,336.21

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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.