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Finding the Third Proportional to 71.09 and 91.44

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Solution

The third proportional to 71.09 and 91.44 is: 117.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.09 : 91.44 = 91.44 : x
  2. Step 2: Convert to fraction form
    71.09/91.44 = 91.44/x
  3. Step 3: Cross multiply
    71.09x = 91.44 × 91.44
  4. Step 4: Simplify right side
    71.09x = 8,361.53
  5. Step 5: Solve for x
    x = 8,361.53/71.09
  6. Step 6: Final answer
    x = 117.63

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.