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Finding the Third Proportional to 87,806 and 212,225

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Solution

The third proportional to 87,806 and 212,225 is: 512,942.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,806 : 212,225 = 212,225 : x
  2. Step 2: Convert to fraction form
    87,806/212,225 = 212,225/x
  3. Step 3: Cross multiply
    87,806x = 212,225 × 212,225
  4. Step 4: Simplify right side
    87,806x = 45,039,450,625
  5. Step 5: Solve for x
    x = 45,039,450,625/87,806
  6. Step 6: Final answer
    x = 512,942.74

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.