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Finding the Third Proportional to 1,383,734.63 and 3,002,676.75

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Solution

The third proportional to 1,383,734.63 and 3,002,676.75 is: 6,515,749.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383,734.63 : 3,002,676.75 = 3,002,676.75 : x
  2. Step 2: Convert to fraction form
    1,383,734.63/3,002,676.75 = 3,002,676.75/x
  3. Step 3: Cross multiply
    1,383,734.63x = 3,002,676.75 × 3,002,676.75
  4. Step 4: Simplify right side
    1,383,734.63x = 9,016,067,664,990.56
  5. Step 5: Solve for x
    x = 9,016,067,664,990.56/1,383,734.63
  6. Step 6: Final answer
    x = 6,515,749.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.