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Finding the Third Proportional to 39,728 and 55,686

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Solution

The third proportional to 39,728 and 55,686 is: 78,054.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,728 : 55,686 = 55,686 : x
  2. Step 2: Convert to fraction form
    39,728/55,686 = 55,686/x
  3. Step 3: Cross multiply
    39,728x = 55,686 × 55,686
  4. Step 4: Simplify right side
    39,728x = 3,100,930,596
  5. Step 5: Solve for x
    x = 3,100,930,596/39,728
  6. Step 6: Final answer
    x = 78,054.03

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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.