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Finding the Third Proportional to 267,615 and 394,030

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Solution

The third proportional to 267,615 and 394,030 is: 580,160.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,615 : 394,030 = 394,030 : x
  2. Step 2: Convert to fraction form
    267,615/394,030 = 394,030/x
  3. Step 3: Cross multiply
    267,615x = 394,030 × 394,030
  4. Step 4: Simplify right side
    267,615x = 155,259,640,900
  5. Step 5: Solve for x
    x = 155,259,640,900/267,615
  6. Step 6: Final answer
    x = 580,160.46

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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.