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Finding the Third Proportional to 267,867 and 405,258

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Solution

The third proportional to 267,867 and 405,258 is: 613,117.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,867 : 405,258 = 405,258 : x
  2. Step 2: Convert to fraction form
    267,867/405,258 = 405,258/x
  3. Step 3: Cross multiply
    267,867x = 405,258 × 405,258
  4. Step 4: Simplify right side
    267,867x = 164,234,046,564
  5. Step 5: Solve for x
    x = 164,234,046,564/267,867
  6. Step 6: Final answer
    x = 613,117.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.