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Finding the Third Proportional to 39,019 and 55,761

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Solution

The third proportional to 39,019 and 55,761 is: 79,686.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,019 : 55,761 = 55,761 : x
  2. Step 2: Convert to fraction form
    39,019/55,761 = 55,761/x
  3. Step 3: Cross multiply
    39,019x = 55,761 × 55,761
  4. Step 4: Simplify right side
    39,019x = 3,109,289,121
  5. Step 5: Solve for x
    x = 3,109,289,121/39,019
  6. Step 6: Final answer
    x = 79,686.54

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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.