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Finding the Third Proportional to 394,485.75 and 576,965.25

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Solution

The third proportional to 394,485.75 and 576,965.25 is: 843,855.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,485.75 : 576,965.25 = 576,965.25 : x
  2. Step 2: Convert to fraction form
    394,485.75/576,965.25 = 576,965.25/x
  3. Step 3: Cross multiply
    394,485.75x = 576,965.25 × 576,965.25
  4. Step 4: Simplify right side
    394,485.75x = 332,888,899,707.56
  5. Step 5: Solve for x
    x = 332,888,899,707.56/394,485.75
  6. Step 6: Final answer
    x = 843,855.32

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.