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Finding the Third Proportional to 38,520 and 80,064

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Solution

The third proportional to 38,520 and 80,064 is: 166,413.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,520 : 80,064 = 80,064 : x
  2. Step 2: Convert to fraction form
    38,520/80,064 = 80,064/x
  3. Step 3: Cross multiply
    38,520x = 80,064 × 80,064
  4. Step 4: Simplify right side
    38,520x = 6,410,244,096
  5. Step 5: Solve for x
    x = 6,410,244,096/38,520
  6. Step 6: Final answer
    x = 166,413.40

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.