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Finding the Third Proportional to 19.22 and 41.65

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Solution

The third proportional to 19.22 and 41.65 is: 90.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.22 : 41.65 = 41.65 : x
  2. Step 2: Convert to fraction form
    19.22/41.65 = 41.65/x
  3. Step 3: Cross multiply
    19.22x = 41.65 × 41.65
  4. Step 4: Simplify right side
    19.22x = 1,734.47
  5. Step 5: Solve for x
    x = 1,734.47/19.22
  6. Step 6: Final answer
    x = 90.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.