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Finding the Third Proportional to 39,923 and 55,509

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Solution

The third proportional to 39,923 and 55,509 is: 77,179.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,923 : 55,509 = 55,509 : x
  2. Step 2: Convert to fraction form
    39,923/55,509 = 55,509/x
  3. Step 3: Cross multiply
    39,923x = 55,509 × 55,509
  4. Step 4: Simplify right side
    39,923x = 3,081,249,081
  5. Step 5: Solve for x
    x = 3,081,249,081/39,923
  6. Step 6: Final answer
    x = 77,179.80

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.