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Finding the Third Proportional to 267,904 and 405,308

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Solution

The third proportional to 267,904 and 405,308 is: 613,184.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,904 : 405,308 = 405,308 : x
  2. Step 2: Convert to fraction form
    267,904/405,308 = 405,308/x
  3. Step 3: Cross multiply
    267,904x = 405,308 × 405,308
  4. Step 4: Simplify right side
    267,904x = 164,274,574,864
  5. Step 5: Solve for x
    x = 164,274,574,864/267,904
  6. Step 6: Final answer
    x = 613,184.48

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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.