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Finding the Third Proportional to 33,630.75 and 50,525.75

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Solution

The third proportional to 33,630.75 and 50,525.75 is: 75,908.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,630.75 : 50,525.75 = 50,525.75 : x
  2. Step 2: Convert to fraction form
    33,630.75/50,525.75 = 50,525.75/x
  3. Step 3: Cross multiply
    33,630.75x = 50,525.75 × 50,525.75
  4. Step 4: Simplify right side
    33,630.75x = 2,552,851,413.06
  5. Step 5: Solve for x
    x = 2,552,851,413.06/33,630.75
  6. Step 6: Final answer
    x = 75,908.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.