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Finding the Third Proportional to 39,120 and 54,576

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Solution

The third proportional to 39,120 and 54,576 is: 76,138.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,120 : 54,576 = 54,576 : x
  2. Step 2: Convert to fraction form
    39,120/54,576 = 54,576/x
  3. Step 3: Cross multiply
    39,120x = 54,576 × 54,576
  4. Step 4: Simplify right side
    39,120x = 2,978,539,776
  5. Step 5: Solve for x
    x = 2,978,539,776/39,120
  6. Step 6: Final answer
    x = 76,138.54

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.