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Finding the Third Proportional to 1,809,643.78 and 3,768,141.52

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Solution

The third proportional to 1,809,643.78 and 3,768,141.52 is: 7,846,235.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,809,643.78 : 3,768,141.52 = 3,768,141.52 : x
  2. Step 2: Convert to fraction form
    1,809,643.78/3,768,141.52 = 3,768,141.52/x
  3. Step 3: Cross multiply
    1,809,643.78x = 3,768,141.52 × 3,768,141.52
  4. Step 4: Simplify right side
    1,809,643.78x = 14,198,890,481,776.67
  5. Step 5: Solve for x
    x = 14,198,890,481,776.67/1,809,643.78
  6. Step 6: Final answer
    x = 7,846,235.06

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.