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Finding the Third Proportional to 89,859 and 197,286

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Solution

The third proportional to 89,859 and 197,286 is: 433,142.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,859 : 197,286 = 197,286 : x
  2. Step 2: Convert to fraction form
    89,859/197,286 = 197,286/x
  3. Step 3: Cross multiply
    89,859x = 197,286 × 197,286
  4. Step 4: Simplify right side
    89,859x = 38,921,765,796
  5. Step 5: Solve for x
    x = 38,921,765,796/89,859
  6. Step 6: Final answer
    x = 433,142.65

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.