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Finding the Third Proportional to 267,858 and 405,243

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Solution

The third proportional to 267,858 and 405,243 is: 613,093.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,858 : 405,243 = 405,243 : x
  2. Step 2: Convert to fraction form
    267,858/405,243 = 405,243/x
  3. Step 3: Cross multiply
    267,858x = 405,243 × 405,243
  4. Step 4: Simplify right side
    267,858x = 164,221,889,049
  5. Step 5: Solve for x
    x = 164,221,889,049/267,858
  6. Step 6: Final answer
    x = 613,093.09

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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.