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Finding the Third Proportional to 215,192 and 439,885

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Solution

The third proportional to 215,192 and 439,885 is: 899,191.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,192 : 439,885 = 439,885 : x
  2. Step 2: Convert to fraction form
    215,192/439,885 = 439,885/x
  3. Step 3: Cross multiply
    215,192x = 439,885 × 439,885
  4. Step 4: Simplify right side
    215,192x = 193,498,813,225
  5. Step 5: Solve for x
    x = 193,498,813,225/215,192
  6. Step 6: Final answer
    x = 899,191.48

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.