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Finding the Third Proportional to 446,415.75 and 670,639.50

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Solution

The third proportional to 446,415.75 and 670,639.50 is: 1,007,485.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,415.75 : 670,639.50 = 670,639.50 : x
  2. Step 2: Convert to fraction form
    446,415.75/670,639.50 = 670,639.50/x
  3. Step 3: Cross multiply
    446,415.75x = 670,639.50 × 670,639.50
  4. Step 4: Simplify right side
    446,415.75x = 449,757,338,960.25
  5. Step 5: Solve for x
    x = 449,757,338,960.25/446,415.75
  6. Step 6: Final answer
    x = 1,007,485.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.