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Finding the Third Proportional to 396,669 and 856,458

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Solution

The third proportional to 396,669 and 856,458 is: 1,849,199.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,669 : 856,458 = 856,458 : x
  2. Step 2: Convert to fraction form
    396,669/856,458 = 856,458/x
  3. Step 3: Cross multiply
    396,669x = 856,458 × 856,458
  4. Step 4: Simplify right side
    396,669x = 733,520,305,764
  5. Step 5: Solve for x
    x = 733,520,305,764/396,669
  6. Step 6: Final answer
    x = 1,849,199.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.