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Finding the Third Proportional to 3,454,245.47 and 5,418,025.53

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Solution

The third proportional to 3,454,245.47 and 5,418,025.53 is: 8,498,238.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,454,245.47 : 5,418,025.53 = 5,418,025.53 : x
  2. Step 2: Convert to fraction form
    3,454,245.47/5,418,025.53 = 5,418,025.53/x
  3. Step 3: Cross multiply
    3,454,245.47x = 5,418,025.53 × 5,418,025.53
  4. Step 4: Simplify right side
    3,454,245.47x = 29,355,000,667,858.25
  5. Step 5: Solve for x
    x = 29,355,000,667,858.25/3,454,245.47
  6. Step 6: Final answer
    x = 8,498,238.15

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