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Finding the Third Proportional to 394,650 and 855,828

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Solution

The third proportional to 394,650 and 855,828 is: 1,855,926.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,650 : 855,828 = 855,828 : x
  2. Step 2: Convert to fraction form
    394,650/855,828 = 855,828/x
  3. Step 3: Cross multiply
    394,650x = 855,828 × 855,828
  4. Step 4: Simplify right side
    394,650x = 732,441,565,584
  5. Step 5: Solve for x
    x = 732,441,565,584/394,650
  6. Step 6: Final answer
    x = 1,855,926.94

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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.