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Finding the Third Proportional to 190.75 and 286.38

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Solution

The third proportional to 190.75 and 286.38 is: 429.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.75 : 286.38 = 286.38 : x
  2. Step 2: Convert to fraction form
    190.75/286.38 = 286.38/x
  3. Step 3: Cross multiply
    190.75x = 286.38 × 286.38
  4. Step 4: Simplify right side
    190.75x = 82,010.64
  5. Step 5: Solve for x
    x = 82,010.64/190.75
  6. Step 6: Final answer
    x = 429.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.