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Finding the Third Proportional to 446,464.50 and 1,053,723.75

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Solution

The third proportional to 446,464.50 and 1,053,723.75 is: 2,486,947.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,464.50 : 1,053,723.75 = 1,053,723.75 : x
  2. Step 2: Convert to fraction form
    446,464.50/1,053,723.75 = 1,053,723.75/x
  3. Step 3: Cross multiply
    446,464.50x = 1,053,723.75 × 1,053,723.75
  4. Step 4: Simplify right side
    446,464.50x = 1,110,333,741,314.06
  5. Step 5: Solve for x
    x = 1,110,333,741,314.06/446,464.50
  6. Step 6: Final answer
    x = 2,486,947.43

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.