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Finding the Third Proportional to 396,222 and 864,660

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Solution

The third proportional to 396,222 and 864,660 is: 1,886,914.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,222 : 864,660 = 864,660 : x
  2. Step 2: Convert to fraction form
    396,222/864,660 = 864,660/x
  3. Step 3: Cross multiply
    396,222x = 864,660 × 864,660
  4. Step 4: Simplify right side
    396,222x = 747,636,915,600
  5. Step 5: Solve for x
    x = 747,636,915,600/396,222
  6. Step 6: Final answer
    x = 1,886,914.19

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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.