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Finding the Third Proportional to 394,880 and 577,508

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Solution

The third proportional to 394,880 and 577,508 is: 844,599.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,880 : 577,508 = 577,508 : x
  2. Step 2: Convert to fraction form
    394,880/577,508 = 577,508/x
  3. Step 3: Cross multiply
    394,880x = 577,508 × 577,508
  4. Step 4: Simplify right side
    394,880x = 333,515,490,064
  5. Step 5: Solve for x
    x = 333,515,490,064/394,880
  6. Step 6: Final answer
    x = 844,599.60

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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.