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Finding the Third Proportional to 394,524 and 577,020

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Solution

The third proportional to 394,524 and 577,020 is: 843,933.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,524 : 577,020 = 577,020 : x
  2. Step 2: Convert to fraction form
    394,524/577,020 = 577,020/x
  3. Step 3: Cross multiply
    394,524x = 577,020 × 577,020
  4. Step 4: Simplify right side
    394,524x = 332,952,080,400
  5. Step 5: Solve for x
    x = 332,952,080,400/394,524
  6. Step 6: Final answer
    x = 843,933.65

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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.