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Finding the Third Proportional to 198,680 and 299,844

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Solution

The third proportional to 198,680 and 299,844 is: 452,518.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,680 : 299,844 = 299,844 : x
  2. Step 2: Convert to fraction form
    198,680/299,844 = 299,844/x
  3. Step 3: Cross multiply
    198,680x = 299,844 × 299,844
  4. Step 4: Simplify right side
    198,680x = 89,906,424,336
  5. Step 5: Solve for x
    x = 89,906,424,336/198,680
  6. Step 6: Final answer
    x = 452,518.75

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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.