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Finding the Third Proportional to 192.80 and 407.11

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Solution

The third proportional to 192.80 and 407.11 is: 859.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.80 : 407.11 = 407.11 : x
  2. Step 2: Convert to fraction form
    192.80/407.11 = 407.11/x
  3. Step 3: Cross multiply
    192.80x = 407.11 × 407.11
  4. Step 4: Simplify right side
    192.80x = 165,738.04
  5. Step 5: Solve for x
    x = 165,738.04/192.80
  6. Step 6: Final answer
    x = 859.65

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.