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Finding the Third Proportional to 33,401 and 72,121

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Solution

The third proportional to 33,401 and 72,121 is: 155,727.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,401 : 72,121 = 72,121 : x
  2. Step 2: Convert to fraction form
    33,401/72,121 = 72,121/x
  3. Step 3: Cross multiply
    33,401x = 72,121 × 72,121
  4. Step 4: Simplify right side
    33,401x = 5,201,438,641
  5. Step 5: Solve for x
    x = 5,201,438,641/33,401
  6. Step 6: Final answer
    x = 155,727.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.