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Finding the Third Proportional to 193.28 and 427.06

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Solution

The third proportional to 193.28 and 427.06 is: 943.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.28 : 427.06 = 427.06 : x
  2. Step 2: Convert to fraction form
    193.28/427.06 = 427.06/x
  3. Step 3: Cross multiply
    193.28x = 427.06 × 427.06
  4. Step 4: Simplify right side
    193.28x = 182,382.38
  5. Step 5: Solve for x
    x = 182,382.38/193.28
  6. Step 6: Final answer
    x = 943.61

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.