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Finding the Third Proportional to 422,604 and 939,699

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Solution

The third proportional to 422,604 and 939,699 is: 2,089,507.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,604 : 939,699 = 939,699 : x
  2. Step 2: Convert to fraction form
    422,604/939,699 = 939,699/x
  3. Step 3: Cross multiply
    422,604x = 939,699 × 939,699
  4. Step 4: Simplify right side
    422,604x = 883,034,210,601
  5. Step 5: Solve for x
    x = 883,034,210,601/422,604
  6. Step 6: Final answer
    x = 2,089,507.46

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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.