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Finding the Third Proportional to 121,474 and 261,401

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Solution

The third proportional to 121,474 and 261,401 is: 562,511.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,474 : 261,401 = 261,401 : x
  2. Step 2: Convert to fraction form
    121,474/261,401 = 261,401/x
  3. Step 3: Cross multiply
    121,474x = 261,401 × 261,401
  4. Step 4: Simplify right side
    121,474x = 68,330,482,801
  5. Step 5: Solve for x
    x = 68,330,482,801/121,474
  6. Step 6: Final answer
    x = 562,511.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.