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Finding the Third Proportional to 192.50 and 391.63

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Solution

The third proportional to 192.50 and 391.63 is: 796.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.50 : 391.63 = 391.63 : x
  2. Step 2: Convert to fraction form
    192.50/391.63 = 391.63/x
  3. Step 3: Cross multiply
    192.50x = 391.63 × 391.63
  4. Step 4: Simplify right side
    192.50x = 153,370.14
  5. Step 5: Solve for x
    x = 153,370.14/192.50
  6. Step 6: Final answer
    x = 796.73

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.