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Finding the Third Proportional to 267,696 and 394,142

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Solution

The third proportional to 267,696 and 394,142 is: 580,314.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,696 : 394,142 = 394,142 : x
  2. Step 2: Convert to fraction form
    267,696/394,142 = 394,142/x
  3. Step 3: Cross multiply
    267,696x = 394,142 × 394,142
  4. Step 4: Simplify right side
    267,696x = 155,347,916,164
  5. Step 5: Solve for x
    x = 155,347,916,164/267,696
  6. Step 6: Final answer
    x = 580,314.67

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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.