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Finding the Third Proportional to 19.41 and 39.80

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Solution

The third proportional to 19.41 and 39.80 is: 81.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.41 : 39.80 = 39.80 : x
  2. Step 2: Convert to fraction form
    19.41/39.80 = 39.80/x
  3. Step 3: Cross multiply
    19.41x = 39.80 × 39.80
  4. Step 4: Simplify right side
    19.41x = 1,583.79
  5. Step 5: Solve for x
    x = 1,583.79/19.41
  6. Step 6: Final answer
    x = 81.61

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.