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Finding the Third Proportional to 190.05 and 271.79

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Solution

The third proportional to 190.05 and 271.79 is: 388.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.05 : 271.79 = 271.79 : x
  2. Step 2: Convert to fraction form
    190.05/271.79 = 271.79/x
  3. Step 3: Cross multiply
    190.05x = 271.79 × 271.79
  4. Step 4: Simplify right side
    190.05x = 73,871.42
  5. Step 5: Solve for x
    x = 73,871.42/190.05
  6. Step 6: Final answer
    x = 388.69

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.