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Finding the Third Proportional to 57.44 and 69.69

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Solution

The third proportional to 57.44 and 69.69 is: 84.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.44 : 69.69 = 69.69 : x
  2. Step 2: Convert to fraction form
    57.44/69.69 = 69.69/x
  3. Step 3: Cross multiply
    57.44x = 69.69 × 69.69
  4. Step 4: Simplify right side
    57.44x = 4,856.35
  5. Step 5: Solve for x
    x = 4,856.35/57.44
  6. Step 6: Final answer
    x = 84.55

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.