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Finding the Third Proportional to 198,304 and 277,368

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Solution

The third proportional to 198,304 and 277,368 is: 387,954.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,304 : 277,368 = 277,368 : x
  2. Step 2: Convert to fraction form
    198,304/277,368 = 277,368/x
  3. Step 3: Cross multiply
    198,304x = 277,368 × 277,368
  4. Step 4: Simplify right side
    198,304x = 76,933,007,424
  5. Step 5: Solve for x
    x = 76,933,007,424/198,304
  6. Step 6: Final answer
    x = 387,954.89

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.