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Finding the Third Proportional to 394,476 and 577,794

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Solution

The third proportional to 394,476 and 577,794 is: 846,302.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,476 : 577,794 = 577,794 : x
  2. Step 2: Convert to fraction form
    394,476/577,794 = 577,794/x
  3. Step 3: Cross multiply
    394,476x = 577,794 × 577,794
  4. Step 4: Simplify right side
    394,476x = 333,845,906,436
  5. Step 5: Solve for x
    x = 333,845,906,436/394,476
  6. Step 6: Final answer
    x = 846,302.20

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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.