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Finding the Third Proportional to 422,619 and 620,994

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Solution

The third proportional to 422,619 and 620,994 is: 912,485.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,619 : 620,994 = 620,994 : x
  2. Step 2: Convert to fraction form
    422,619/620,994 = 620,994/x
  3. Step 3: Cross multiply
    422,619x = 620,994 × 620,994
  4. Step 4: Simplify right side
    422,619x = 385,633,548,036
  5. Step 5: Solve for x
    x = 385,633,548,036/422,619
  6. Step 6: Final answer
    x = 912,485.12

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.