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Finding the Third Proportional to 19.92 and 41.79

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Solution

The third proportional to 19.92 and 41.79 is: 87.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.92 : 41.79 = 41.79 : x
  2. Step 2: Convert to fraction form
    19.92/41.79 = 41.79/x
  3. Step 3: Cross multiply
    19.92x = 41.79 × 41.79
  4. Step 4: Simplify right side
    19.92x = 1,746.39
  5. Step 5: Solve for x
    x = 1,746.39/19.92
  6. Step 6: Final answer
    x = 87.68

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.