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Finding the Third Proportional to 50 and 75.25

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Solution

The third proportional to 50 and 75.25 is: 113.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    50 : 75.25 = 75.25 : x
  2. Step 2: Convert to fraction form
    50/75.25 = 75.25/x
  3. Step 3: Cross multiply
    50x = 75.25 × 75.25
  4. Step 4: Simplify right side
    50x = 5,662.56
  5. Step 5: Solve for x
    x = 5,662.56/50
  6. Step 6: Final answer
    x = 113.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.