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Finding the Third Proportional to 89,163 and 198,009

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Solution

The third proportional to 89,163 and 198,009 is: 439,729.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,163 : 198,009 = 198,009 : x
  2. Step 2: Convert to fraction form
    89,163/198,009 = 198,009/x
  3. Step 3: Cross multiply
    89,163x = 198,009 × 198,009
  4. Step 4: Simplify right side
    89,163x = 39,207,564,081
  5. Step 5: Solve for x
    x = 39,207,564,081/89,163
  6. Step 6: Final answer
    x = 439,729.08

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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.