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Finding the Third Proportional to 394,821 and 577,488

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Solution

The third proportional to 394,821 and 577,488 is: 844,667.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,821 : 577,488 = 577,488 : x
  2. Step 2: Convert to fraction form
    394,821/577,488 = 577,488/x
  3. Step 3: Cross multiply
    394,821x = 577,488 × 577,488
  4. Step 4: Simplify right side
    394,821x = 333,492,390,144
  5. Step 5: Solve for x
    x = 333,492,390,144/394,821
  6. Step 6: Final answer
    x = 844,667.31

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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.