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Finding the Third Proportional to 194,738 and 398,692

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Solution

The third proportional to 194,738 and 398,692 is: 816,252.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,738 : 398,692 = 398,692 : x
  2. Step 2: Convert to fraction form
    194,738/398,692 = 398,692/x
  3. Step 3: Cross multiply
    194,738x = 398,692 × 398,692
  4. Step 4: Simplify right side
    194,738x = 158,955,310,864
  5. Step 5: Solve for x
    x = 158,955,310,864/194,738
  6. Step 6: Final answer
    x = 816,252.15

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.