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Finding the Third Proportional to 578,441.25 and 1,245,678.75

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Solution

The third proportional to 578,441.25 and 1,245,678.75 is: 2,682,581.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,441.25 : 1,245,678.75 = 1,245,678.75 : x
  2. Step 2: Convert to fraction form
    578,441.25/1,245,678.75 = 1,245,678.75/x
  3. Step 3: Cross multiply
    578,441.25x = 1,245,678.75 × 1,245,678.75
  4. Step 4: Simplify right side
    578,441.25x = 1,551,715,548,201.56
  5. Step 5: Solve for x
    x = 1,551,715,548,201.56/578,441.25
  6. Step 6: Final answer
    x = 2,682,581.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.