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Finding the Third Proportional to 198,696 and 299,907

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Solution

The third proportional to 198,696 and 299,907 is: 452,672.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,696 : 299,907 = 299,907 : x
  2. Step 2: Convert to fraction form
    198,696/299,907 = 299,907/x
  3. Step 3: Cross multiply
    198,696x = 299,907 × 299,907
  4. Step 4: Simplify right side
    198,696x = 89,944,208,649
  5. Step 5: Solve for x
    x = 89,944,208,649/198,696
  6. Step 6: Final answer
    x = 452,672.47

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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.