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Finding the Third Proportional to 131,436 and 203,895

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Solution

The third proportional to 131,436 and 203,895 is: 316,299.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,436 : 203,895 = 203,895 : x
  2. Step 2: Convert to fraction form
    131,436/203,895 = 203,895/x
  3. Step 3: Cross multiply
    131,436x = 203,895 × 203,895
  4. Step 4: Simplify right side
    131,436x = 41,573,171,025
  5. Step 5: Solve for x
    x = 41,573,171,025/131,436
  6. Step 6: Final answer
    x = 316,299.73

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.