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Finding the Third Proportional to 1,743,200.63 and 3,795,162.75

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Solution

The third proportional to 1,743,200.63 and 3,795,162.75 is: 8,262,537.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,743,200.63 : 3,795,162.75 = 3,795,162.75 : x
  2. Step 2: Convert to fraction form
    1,743,200.63/3,795,162.75 = 3,795,162.75/x
  3. Step 3: Cross multiply
    1,743,200.63x = 3,795,162.75 × 3,795,162.75
  4. Step 4: Simplify right side
    1,743,200.63x = 14,403,260,298,987.56
  5. Step 5: Solve for x
    x = 14,403,260,298,987.56/1,743,200.63
  6. Step 6: Final answer
    x = 8,262,537.37

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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.