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Finding the Third Proportional to 267,903 and 408,135

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Solution

The third proportional to 267,903 and 408,135 is: 621,770.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,903 : 408,135 = 408,135 : x
  2. Step 2: Convert to fraction form
    267,903/408,135 = 408,135/x
  3. Step 3: Cross multiply
    267,903x = 408,135 × 408,135
  4. Step 4: Simplify right side
    267,903x = 166,574,178,225
  5. Step 5: Solve for x
    x = 166,574,178,225/267,903
  6. Step 6: Final answer
    x = 621,770.48

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.