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Finding the Third Proportional to 57.44 and 91.09

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Solution

The third proportional to 57.44 and 91.09 is: 144.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.44 : 91.09 = 91.09 : x
  2. Step 2: Convert to fraction form
    57.44/91.09 = 91.09/x
  3. Step 3: Cross multiply
    57.44x = 91.09 × 91.09
  4. Step 4: Simplify right side
    57.44x = 8,298.07
  5. Step 5: Solve for x
    x = 8,298.07/57.44
  6. Step 6: Final answer
    x = 144.47

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.