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Finding the Third Proportional to 422,601 and 939,690

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Solution

The third proportional to 422,601 and 939,690 is: 2,089,482.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,601 : 939,690 = 939,690 : x
  2. Step 2: Convert to fraction form
    422,601/939,690 = 939,690/x
  3. Step 3: Cross multiply
    422,601x = 939,690 × 939,690
  4. Step 4: Simplify right side
    422,601x = 883,017,296,100
  5. Step 5: Solve for x
    x = 883,017,296,100/422,601
  6. Step 6: Final answer
    x = 2,089,482.27

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.