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Finding the Third Proportional to 95,883 and 204,068

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Solution

The third proportional to 95,883 and 204,068 is: 434,318.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,883 : 204,068 = 204,068 : x
  2. Step 2: Convert to fraction form
    95,883/204,068 = 204,068/x
  3. Step 3: Cross multiply
    95,883x = 204,068 × 204,068
  4. Step 4: Simplify right side
    95,883x = 41,643,748,624
  5. Step 5: Solve for x
    x = 41,643,748,624/95,883
  6. Step 6: Final answer
    x = 434,318.37

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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.