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Finding the Third Proportional to 394,857 and 577,476

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Solution

The third proportional to 394,857 and 577,476 is: 844,555.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,857 : 577,476 = 577,476 : x
  2. Step 2: Convert to fraction form
    394,857/577,476 = 577,476/x
  3. Step 3: Cross multiply
    394,857x = 577,476 × 577,476
  4. Step 4: Simplify right side
    394,857x = 333,478,530,576
  5. Step 5: Solve for x
    x = 333,478,530,576/394,857
  6. Step 6: Final answer
    x = 844,555.19

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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.