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Finding the Third Proportional to 190.69 and 272.64

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Solution

The third proportional to 190.69 and 272.64 is: 389.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.69 : 272.64 = 272.64 : x
  2. Step 2: Convert to fraction form
    190.69/272.64 = 272.64/x
  3. Step 3: Cross multiply
    190.69x = 272.64 × 272.64
  4. Step 4: Simplify right side
    190.69x = 74,330.78
  5. Step 5: Solve for x
    x = 74,330.78/190.69
  6. Step 6: Final answer
    x = 389.80

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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.