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Finding the Third Proportional to 43.22 and 70.44

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Solution

The third proportional to 43.22 and 70.44 is: 114.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.22 : 70.44 = 70.44 : x
  2. Step 2: Convert to fraction form
    43.22/70.44 = 70.44/x
  3. Step 3: Cross multiply
    43.22x = 70.44 × 70.44
  4. Step 4: Simplify right side
    43.22x = 4,961.44
  5. Step 5: Solve for x
    x = 4,961.44/43.22
  6. Step 6: Final answer
    x = 114.80

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.