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Finding the Third Proportional to 131,676 and 198,676

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Solution

The third proportional to 131,676 and 198,676 is: 299,767.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,676 : 198,676 = 198,676 : x
  2. Step 2: Convert to fraction form
    131,676/198,676 = 198,676/x
  3. Step 3: Cross multiply
    131,676x = 198,676 × 198,676
  4. Step 4: Simplify right side
    131,676x = 39,472,152,976
  5. Step 5: Solve for x
    x = 39,472,152,976/131,676
  6. Step 6: Final answer
    x = 299,767.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.