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Finding the Third Proportional to 129,469 and 198,732

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Solution

The third proportional to 129,469 and 198,732 is: 305,049.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,469 : 198,732 = 198,732 : x
  2. Step 2: Convert to fraction form
    129,469/198,732 = 198,732/x
  3. Step 3: Cross multiply
    129,469x = 198,732 × 198,732
  4. Step 4: Simplify right side
    129,469x = 39,494,407,824
  5. Step 5: Solve for x
    x = 39,494,407,824/129,469
  6. Step 6: Final answer
    x = 305,049.15

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.