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Finding the Third Proportional to 190.75 and 285.66

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Solution

The third proportional to 190.75 and 285.66 is: 427.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.75 : 285.66 = 285.66 : x
  2. Step 2: Convert to fraction form
    190.75/285.66 = 285.66/x
  3. Step 3: Cross multiply
    190.75x = 285.66 × 285.66
  4. Step 4: Simplify right side
    190.75x = 81,599.49
  5. Step 5: Solve for x
    x = 81,599.49/190.75
  6. Step 6: Final answer
    x = 427.78

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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.