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Finding the Third Proportional to 397,007 and 863,992

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Solution

The third proportional to 397,007 and 863,992 is: 1,880,274.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,007 : 863,992 = 863,992 : x
  2. Step 2: Convert to fraction form
    397,007/863,992 = 863,992/x
  3. Step 3: Cross multiply
    397,007x = 863,992 × 863,992
  4. Step 4: Simplify right side
    397,007x = 746,482,176,064
  5. Step 5: Solve for x
    x = 746,482,176,064/397,007
  6. Step 6: Final answer
    x = 1,880,274.59

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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.