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Finding the Third Proportional to 190.84 and 391.81

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Solution

The third proportional to 190.84 and 391.81 is: 804.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.84 : 391.81 = 391.81 : x
  2. Step 2: Convert to fraction form
    190.84/391.81 = 391.81/x
  3. Step 3: Cross multiply
    190.84x = 391.81 × 391.81
  4. Step 4: Simplify right side
    190.84x = 153,517.04
  5. Step 5: Solve for x
    x = 153,517.04/190.84
  6. Step 6: Final answer
    x = 804.41

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Why These Related Problems?

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