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Finding the Third Proportional to 267,894 and 405,285

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Solution

The third proportional to 267,894 and 405,285 is: 613,137.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,894 : 405,285 = 405,285 : x
  2. Step 2: Convert to fraction form
    267,894/405,285 = 405,285/x
  3. Step 3: Cross multiply
    267,894x = 405,285 × 405,285
  4. Step 4: Simplify right side
    267,894x = 164,255,931,225
  5. Step 5: Solve for x
    x = 164,255,931,225/267,894
  6. Step 6: Final answer
    x = 613,137.78

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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.