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Finding the Third Proportional to 397,006 and 863,990

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Solution

The third proportional to 397,006 and 863,990 is: 1,880,270.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,006 : 863,990 = 863,990 : x
  2. Step 2: Convert to fraction form
    397,006/863,990 = 863,990/x
  3. Step 3: Cross multiply
    397,006x = 863,990 × 863,990
  4. Step 4: Simplify right side
    397,006x = 746,478,720,100
  5. Step 5: Solve for x
    x = 746,478,720,100/397,006
  6. Step 6: Final answer
    x = 1,880,270.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.