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Finding the Third Proportional to 396,983 and 863,950

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Solution

The third proportional to 396,983 and 863,950 is: 1,880,205.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,983 : 863,950 = 863,950 : x
  2. Step 2: Convert to fraction form
    396,983/863,950 = 863,950/x
  3. Step 3: Cross multiply
    396,983x = 863,950 × 863,950
  4. Step 4: Simplify right side
    396,983x = 746,409,602,500
  5. Step 5: Solve for x
    x = 746,409,602,500/396,983
  6. Step 6: Final answer
    x = 1,880,205.46

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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.