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Finding the Third Proportional to 192.72 and 416.21

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Solution

The third proportional to 192.72 and 416.21 is: 898.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.72 : 416.21 = 416.21 : x
  2. Step 2: Convert to fraction form
    192.72/416.21 = 416.21/x
  3. Step 3: Cross multiply
    192.72x = 416.21 × 416.21
  4. Step 4: Simplify right side
    192.72x = 173,231.54
  5. Step 5: Solve for x
    x = 173,231.54/192.72
  6. Step 6: Final answer
    x = 898.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.