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Finding the Third Proportional to 198,885 and 308,376

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Solution

The third proportional to 198,885 and 308,376 is: 478,144.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,885 : 308,376 = 308,376 : x
  2. Step 2: Convert to fraction form
    198,885/308,376 = 308,376/x
  3. Step 3: Cross multiply
    198,885x = 308,376 × 308,376
  4. Step 4: Simplify right side
    198,885x = 95,095,757,376
  5. Step 5: Solve for x
    x = 95,095,757,376/198,885
  6. Step 6: Final answer
    x = 478,144.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.