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Finding the Third Proportional to 394,742 and 856,552

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Solution

The third proportional to 394,742 and 856,552 is: 1,858,635.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,742 : 856,552 = 856,552 : x
  2. Step 2: Convert to fraction form
    394,742/856,552 = 856,552/x
  3. Step 3: Cross multiply
    394,742x = 856,552 × 856,552
  4. Step 4: Simplify right side
    394,742x = 733,681,328,704
  5. Step 5: Solve for x
    x = 733,681,328,704/394,742
  6. Step 6: Final answer
    x = 1,858,635.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.