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Finding the Third Proportional to 57 and 77.25

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Solution

The third proportional to 57 and 77.25 is: 104.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    57 : 77.25 = 77.25 : x
  2. Step 2: Convert to fraction form
    57/77.25 = 77.25/x
  3. Step 3: Cross multiply
    57x = 77.25 × 77.25
  4. Step 4: Simplify right side
    57x = 5,967.56
  5. Step 5: Solve for x
    x = 5,967.56/57
  6. Step 6: Final answer
    x = 104.69

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.