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Finding the Third Proportional to 89,840 and 197,909

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Solution

The third proportional to 89,840 and 197,909 is: 435,974.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,840 : 197,909 = 197,909 : x
  2. Step 2: Convert to fraction form
    89,840/197,909 = 197,909/x
  3. Step 3: Cross multiply
    89,840x = 197,909 × 197,909
  4. Step 4: Simplify right side
    89,840x = 39,167,972,281
  5. Step 5: Solve for x
    x = 39,167,972,281/89,840
  6. Step 6: Final answer
    x = 435,974.76

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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.