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Finding the Third Proportional to 215,161 and 454,945

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Solution

The third proportional to 215,161 and 454,945 is: 961,953.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,161 : 454,945 = 454,945 : x
  2. Step 2: Convert to fraction form
    215,161/454,945 = 454,945/x
  3. Step 3: Cross multiply
    215,161x = 454,945 × 454,945
  4. Step 4: Simplify right side
    215,161x = 206,974,953,025
  5. Step 5: Solve for x
    x = 206,974,953,025/215,161
  6. Step 6: Final answer
    x = 961,953.85

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.