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Finding the Third Proportional to 394,062 and 854,172

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Solution

The third proportional to 394,062 and 854,172 is: 1,851,510.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,062 : 854,172 = 854,172 : x
  2. Step 2: Convert to fraction form
    394,062/854,172 = 854,172/x
  3. Step 3: Cross multiply
    394,062x = 854,172 × 854,172
  4. Step 4: Simplify right side
    394,062x = 729,609,805,584
  5. Step 5: Solve for x
    x = 729,609,805,584/394,062
  6. Step 6: Final answer
    x = 1,851,510.18

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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.