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Finding the Third Proportional to 394,090.88 and 819,634.13

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Solution

The third proportional to 394,090.88 and 819,634.13 is: 1,704,683.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,090.88 : 819,634.13 = 819,634.13 : x
  2. Step 2: Convert to fraction form
    394,090.88/819,634.13 = 819,634.13/x
  3. Step 3: Cross multiply
    394,090.88x = 819,634.13 × 819,634.13
  4. Step 4: Simplify right side
    394,090.88x = 671,800,098,864.52
  5. Step 5: Solve for x
    x = 671,800,098,864.52/394,090.88
  6. Step 6: Final answer
    x = 1,704,683.21

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.