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Finding the Third Proportional to 95,857.50 and 204,009

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Solution

The third proportional to 95,857.50 and 204,009 is: 434,182.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,857.50 : 204,009 = 204,009 : x
  2. Step 2: Convert to fraction form
    95,857.50/204,009 = 204,009/x
  3. Step 3: Cross multiply
    95,857.50x = 204,009 × 204,009
  4. Step 4: Simplify right side
    95,857.50x = 41,619,672,081
  5. Step 5: Solve for x
    x = 41,619,672,081/95,857.50
  6. Step 6: Final answer
    x = 434,182.74

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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.