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Finding the Third Proportional to 267,279 and 399,609

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Solution

The third proportional to 267,279 and 399,609 is: 597,455.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,279 : 399,609 = 399,609 : x
  2. Step 2: Convert to fraction form
    267,279/399,609 = 399,609/x
  3. Step 3: Cross multiply
    267,279x = 399,609 × 399,609
  4. Step 4: Simplify right side
    267,279x = 159,687,352,881
  5. Step 5: Solve for x
    x = 159,687,352,881/267,279
  6. Step 6: Final answer
    x = 597,455.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.