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Finding the Third Proportional to 133,038 and 198,981

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Solution

The third proportional to 133,038 and 198,981 is: 297,609.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,038 : 198,981 = 198,981 : x
  2. Step 2: Convert to fraction form
    133,038/198,981 = 198,981/x
  3. Step 3: Cross multiply
    133,038x = 198,981 × 198,981
  4. Step 4: Simplify right side
    133,038x = 39,593,438,361
  5. Step 5: Solve for x
    x = 39,593,438,361/133,038
  6. Step 6: Final answer
    x = 297,609.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.