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Finding the Third Proportional to 394,324 and 855,080

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Solution

The third proportional to 394,324 and 855,080 is: 1,854,215.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,324 : 855,080 = 855,080 : x
  2. Step 2: Convert to fraction form
    394,324/855,080 = 855,080/x
  3. Step 3: Cross multiply
    394,324x = 855,080 × 855,080
  4. Step 4: Simplify right side
    394,324x = 731,161,806,400
  5. Step 5: Solve for x
    x = 731,161,806,400/394,324
  6. Step 6: Final answer
    x = 1,854,215.84

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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.