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Finding the Third Proportional to 19.22 and 40.05

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Solution

The third proportional to 19.22 and 40.05 is: 83.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.22 : 40.05 = 40.05 : x
  2. Step 2: Convert to fraction form
    19.22/40.05 = 40.05/x
  3. Step 3: Cross multiply
    19.22x = 40.05 × 40.05
  4. Step 4: Simplify right side
    19.22x = 1,603.62
  5. Step 5: Solve for x
    x = 1,603.62/19.22
  6. Step 6: Final answer
    x = 83.43

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.