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Finding the Third Proportional to 38,400 and 54,912

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Solution

The third proportional to 38,400 and 54,912 is: 78,524.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,400 : 54,912 = 54,912 : x
  2. Step 2: Convert to fraction form
    38,400/54,912 = 54,912/x
  3. Step 3: Cross multiply
    38,400x = 54,912 × 54,912
  4. Step 4: Simplify right side
    38,400x = 3,015,327,744
  5. Step 5: Solve for x
    x = 3,015,327,744/38,400
  6. Step 6: Final answer
    x = 78,524.16

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.