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Finding the Third Proportional to 47.75 and 73.25

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Solution

The third proportional to 47.75 and 73.25 is: 112.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.75 : 73.25 = 73.25 : x
  2. Step 2: Convert to fraction form
    47.75/73.25 = 73.25/x
  3. Step 3: Cross multiply
    47.75x = 73.25 × 73.25
  4. Step 4: Simplify right side
    47.75x = 5,365.56
  5. Step 5: Solve for x
    x = 5,365.56/47.75
  6. Step 6: Final answer
    x = 112.37

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.