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Finding the Third Proportional to 780,198.37 and 1,224,209.56

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Solution

The third proportional to 780,198.37 and 1,224,209.56 is: 1,920,907.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,198.37 : 1,224,209.56 = 1,224,209.56 : x
  2. Step 2: Convert to fraction form
    780,198.37/1,224,209.56 = 1,224,209.56/x
  3. Step 3: Cross multiply
    780,198.37x = 1,224,209.56 × 1,224,209.56
  4. Step 4: Simplify right side
    780,198.37x = 1,498,689,040,961.30
  5. Step 5: Solve for x
    x = 1,498,689,040,961.30/780,198.37
  6. Step 6: Final answer
    x = 1,920,907.69

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.