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Finding the Third Proportional to 91.44 and 142.22

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Solution

The third proportional to 91.44 and 142.22 is: 221.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.44 : 142.22 = 142.22 : x
  2. Step 2: Convert to fraction form
    91.44/142.22 = 142.22/x
  3. Step 3: Cross multiply
    91.44x = 142.22 × 142.22
  4. Step 4: Simplify right side
    91.44x = 20,227.84
  5. Step 5: Solve for x
    x = 20,227.84/91.44
  6. Step 6: Final answer
    x = 221.21

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.