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Finding the Third Proportional to 267,866 and 405,255

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Solution

The third proportional to 267,866 and 405,255 is: 613,111.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,866 : 405,255 = 405,255 : x
  2. Step 2: Convert to fraction form
    267,866/405,255 = 405,255/x
  3. Step 3: Cross multiply
    267,866x = 405,255 × 405,255
  4. Step 4: Simplify right side
    267,866x = 164,231,615,025
  5. Step 5: Solve for x
    x = 164,231,615,025/267,866
  6. Step 6: Final answer
    x = 613,111.09

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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.