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Finding the Third Proportional to 131,325 and 203,738

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Solution

The third proportional to 131,325 and 203,738 is: 316,079.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,325 : 203,738 = 203,738 : x
  2. Step 2: Convert to fraction form
    131,325/203,738 = 203,738/x
  3. Step 3: Cross multiply
    131,325x = 203,738 × 203,738
  4. Step 4: Simplify right side
    131,325x = 41,509,172,644
  5. Step 5: Solve for x
    x = 41,509,172,644/131,325
  6. Step 6: Final answer
    x = 316,079.75

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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.