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Finding the Third Proportional to 8.20 and 19.26

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Solution

The third proportional to 8.20 and 19.26 is: 45.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.20 : 19.26 = 19.26 : x
  2. Step 2: Convert to fraction form
    8.20/19.26 = 19.26/x
  3. Step 3: Cross multiply
    8.20x = 19.26 × 19.26
  4. Step 4: Simplify right side
    8.20x = 371.02
  5. Step 5: Solve for x
    x = 371.02/8.20
  6. Step 6: Final answer
    x = 45.22

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.