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Finding the Third Proportional to 89,221 and 198,125

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Solution

The third proportional to 89,221 and 198,125 is: 439,958.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,221 : 198,125 = 198,125 : x
  2. Step 2: Convert to fraction form
    89,221/198,125 = 198,125/x
  3. Step 3: Cross multiply
    89,221x = 198,125 × 198,125
  4. Step 4: Simplify right side
    89,221x = 39,253,515,625
  5. Step 5: Solve for x
    x = 39,253,515,625/89,221
  6. Step 6: Final answer
    x = 439,958.26

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.