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Finding the Third Proportional to 394,320 and 855,071

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Solution

The third proportional to 394,320 and 855,071 is: 1,854,195.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,320 : 855,071 = 855,071 : x
  2. Step 2: Convert to fraction form
    394,320/855,071 = 855,071/x
  3. Step 3: Cross multiply
    394,320x = 855,071 × 855,071
  4. Step 4: Simplify right side
    394,320x = 731,146,415,041
  5. Step 5: Solve for x
    x = 731,146,415,041/394,320
  6. Step 6: Final answer
    x = 1,854,195.62

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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.