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Finding the Third Proportional to 22.60 and 30.82

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Solution

The third proportional to 22.60 and 30.82 is: 42.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.60 : 30.82 = 30.82 : x
  2. Step 2: Convert to fraction form
    22.60/30.82 = 30.82/x
  3. Step 3: Cross multiply
    22.60x = 30.82 × 30.82
  4. Step 4: Simplify right side
    22.60x = 950.13
  5. Step 5: Solve for x
    x = 950.13/22.60
  6. Step 6: Final answer
    x = 42.03

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.