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Finding the Third Proportional to 394,854 and 577,472.25

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Solution

The third proportional to 394,854 and 577,472.25 is: 844,550.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,854 : 577,472.25 = 577,472.25 : x
  2. Step 2: Convert to fraction form
    394,854/577,472.25 = 577,472.25/x
  3. Step 3: Cross multiply
    394,854x = 577,472.25 × 577,472.25
  4. Step 4: Simplify right side
    394,854x = 333,474,199,520.06
  5. Step 5: Solve for x
    x = 333,474,199,520.06/394,854
  6. Step 6: Final answer
    x = 844,550.64

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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.