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Finding the Third Proportional to 198,963.84 and 281,258.58

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Solution

The third proportional to 198,963.84 and 281,258.58 is: 397,591.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,963.84 : 281,258.58 = 281,258.58 : x
  2. Step 2: Convert to fraction form
    198,963.84/281,258.58 = 281,258.58/x
  3. Step 3: Cross multiply
    198,963.84x = 281,258.58 × 281,258.58
  4. Step 4: Simplify right side
    198,963.84x = 79,106,387,768.90
  5. Step 5: Solve for x
    x = 79,106,387,768.90/198,963.84
  6. Step 6: Final answer
    x = 397,591.77

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.