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Finding the Third Proportional to 190,450 and 363,620

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Solution

The third proportional to 190,450 and 363,620 is: 694,247.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,450 : 363,620 = 363,620 : x
  2. Step 2: Convert to fraction form
    190,450/363,620 = 363,620/x
  3. Step 3: Cross multiply
    190,450x = 363,620 × 363,620
  4. Step 4: Simplify right side
    190,450x = 132,219,504,400
  5. Step 5: Solve for x
    x = 132,219,504,400/190,450
  6. Step 6: Final answer
    x = 694,247.86

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.