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Finding the Third Proportional to 18.91 and 41.27

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Solution

The third proportional to 18.91 and 41.27 is: 90.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.91 : 41.27 = 41.27 : x
  2. Step 2: Convert to fraction form
    18.91/41.27 = 41.27/x
  3. Step 3: Cross multiply
    18.91x = 41.27 × 41.27
  4. Step 4: Simplify right side
    18.91x = 1,703.50
  5. Step 5: Solve for x
    x = 1,703.50/18.91
  6. Step 6: Final answer
    x = 90.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.