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Finding the Third Proportional to 396,288 and 863,280

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Solution

The third proportional to 396,288 and 863,280 is: 1,880,582.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,288 : 863,280 = 863,280 : x
  2. Step 2: Convert to fraction form
    396,288/863,280 = 863,280/x
  3. Step 3: Cross multiply
    396,288x = 863,280 × 863,280
  4. Step 4: Simplify right side
    396,288x = 745,252,358,400
  5. Step 5: Solve for x
    x = 745,252,358,400/396,288
  6. Step 6: Final answer
    x = 1,880,582.70

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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.