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Finding the Third Proportional to 396,981 and 863,946

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Solution

The third proportional to 396,981 and 863,946 is: 1,880,197.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,981 : 863,946 = 863,946 : x
  2. Step 2: Convert to fraction form
    396,981/863,946 = 863,946/x
  3. Step 3: Cross multiply
    396,981x = 863,946 × 863,946
  4. Step 4: Simplify right side
    396,981x = 746,402,690,916
  5. Step 5: Solve for x
    x = 746,402,690,916/396,981
  6. Step 6: Final answer
    x = 1,880,197.52

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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.