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Finding the Third Proportional to 95,960.50 and 202,993

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Solution

The third proportional to 95,960.50 and 202,993 is: 429,407.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,960.50 : 202,993 = 202,993 : x
  2. Step 2: Convert to fraction form
    95,960.50/202,993 = 202,993/x
  3. Step 3: Cross multiply
    95,960.50x = 202,993 × 202,993
  4. Step 4: Simplify right side
    95,960.50x = 41,206,158,049
  5. Step 5: Solve for x
    x = 41,206,158,049/95,960.50
  6. Step 6: Final answer
    x = 429,407.50

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.