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Finding the Third Proportional to 140,736 and 210,401

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Solution

The third proportional to 140,736 and 210,401 is: 314,550.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,736 : 210,401 = 210,401 : x
  2. Step 2: Convert to fraction form
    140,736/210,401 = 210,401/x
  3. Step 3: Cross multiply
    140,736x = 210,401 × 210,401
  4. Step 4: Simplify right side
    140,736x = 44,268,580,801
  5. Step 5: Solve for x
    x = 44,268,580,801/140,736
  6. Step 6: Final answer
    x = 314,550.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.