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Finding the Third Proportional to 3,578,969.25 and 5,420,550.38

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Solution

The third proportional to 3,578,969.25 and 5,420,550.38 is: 8,209,728.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,578,969.25 : 5,420,550.38 = 5,420,550.38 : x
  2. Step 2: Convert to fraction form
    3,578,969.25/5,420,550.38 = 5,420,550.38/x
  3. Step 3: Cross multiply
    3,578,969.25x = 5,420,550.38 × 5,420,550.38
  4. Step 4: Simplify right side
    3,578,969.25x = 29,382,366,367,912.64
  5. Step 5: Solve for x
    x = 29,382,366,367,912.64/3,578,969.25
  6. Step 6: Final answer
    x = 8,209,728.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.