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Finding the Third Proportional to 396,770 and 864,345

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Solution

The third proportional to 396,770 and 864,345 is: 1,882,935.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,770 : 864,345 = 864,345 : x
  2. Step 2: Convert to fraction form
    396,770/864,345 = 864,345/x
  3. Step 3: Cross multiply
    396,770x = 864,345 × 864,345
  4. Step 4: Simplify right side
    396,770x = 747,092,279,025
  5. Step 5: Solve for x
    x = 747,092,279,025/396,770
  6. Step 6: Final answer
    x = 1,882,935.40

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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.