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Finding the Third Proportional to 19.09 and 41.71

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Solution

The third proportional to 19.09 and 41.71 is: 91.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.09 : 41.71 = 41.71 : x
  2. Step 2: Convert to fraction form
    19.09/41.71 = 41.71/x
  3. Step 3: Cross multiply
    19.09x = 41.71 × 41.71
  4. Step 4: Simplify right side
    19.09x = 1,739.97
  5. Step 5: Solve for x
    x = 1,739.97/19.09
  6. Step 6: Final answer
    x = 91.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.