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Finding the Third Proportional to 685,241.44 and 1,491,405.75

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Solution

The third proportional to 685,241.44 and 1,491,405.75 is: 3,245,996.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,241.44 : 1,491,405.75 = 1,491,405.75 : x
  2. Step 2: Convert to fraction form
    685,241.44/1,491,405.75 = 1,491,405.75/x
  3. Step 3: Cross multiply
    685,241.44x = 1,491,405.75 × 1,491,405.75
  4. Step 4: Simplify right side
    685,241.44x = 2,224,291,111,133.06
  5. Step 5: Solve for x
    x = 2,224,291,111,133.06/685,241.44
  6. Step 6: Final answer
    x = 3,245,996.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.