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Finding the Third Proportional to 19,039 and 39,401

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Solution

The third proportional to 19,039 and 39,401 is: 81,539.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,039 : 39,401 = 39,401 : x
  2. Step 2: Convert to fraction form
    19,039/39,401 = 39,401/x
  3. Step 3: Cross multiply
    19,039x = 39,401 × 39,401
  4. Step 4: Simplify right side
    19,039x = 1,552,438,801
  5. Step 5: Solve for x
    x = 1,552,438,801/19,039
  6. Step 6: Final answer
    x = 81,539.93

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.