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Finding the Third Proportional to 50.51 and 93.73

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Solution

The third proportional to 50.51 and 93.73 is: 173.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.51 : 93.73 = 93.73 : x
  2. Step 2: Convert to fraction form
    50.51/93.73 = 93.73/x
  3. Step 3: Cross multiply
    50.51x = 93.73 × 93.73
  4. Step 4: Simplify right side
    50.51x = 8,786.09
  5. Step 5: Solve for x
    x = 8,786.09/50.51
  6. Step 6: Final answer
    x = 173.94

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.