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Finding the Third Proportional to 95,745 and 203,595

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Solution

The third proportional to 95,745 and 203,595 is: 432,930.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,745 : 203,595 = 203,595 : x
  2. Step 2: Convert to fraction form
    95,745/203,595 = 203,595/x
  3. Step 3: Cross multiply
    95,745x = 203,595 × 203,595
  4. Step 4: Simplify right side
    95,745x = 41,450,924,025
  5. Step 5: Solve for x
    x = 41,450,924,025/95,745
  6. Step 6: Final answer
    x = 432,930.43

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.