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Finding the Third Proportional to 422,162.25 and 622,080.75

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Solution

The third proportional to 422,162.25 and 622,080.75 is: 916,672.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,162.25 : 622,080.75 = 622,080.75 : x
  2. Step 2: Convert to fraction form
    422,162.25/622,080.75 = 622,080.75/x
  3. Step 3: Cross multiply
    422,162.25x = 622,080.75 × 622,080.75
  4. Step 4: Simplify right side
    422,162.25x = 386,984,459,520.56
  5. Step 5: Solve for x
    x = 386,984,459,520.56/422,162.25
  6. Step 6: Final answer
    x = 916,672.34

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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.