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Finding the Third Proportional to 267,619 and 394,036

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Solution

The third proportional to 267,619 and 394,036 is: 580,169.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,619 : 394,036 = 394,036 : x
  2. Step 2: Convert to fraction form
    267,619/394,036 = 394,036/x
  3. Step 3: Cross multiply
    267,619x = 394,036 × 394,036
  4. Step 4: Simplify right side
    267,619x = 155,264,369,296
  5. Step 5: Solve for x
    x = 155,264,369,296/267,619
  6. Step 6: Final answer
    x = 580,169.45

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.