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Finding the Third Proportional to 394,862 and 577,485

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Solution

The third proportional to 394,862 and 577,485 is: 844,570.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,862 : 577,485 = 577,485 : x
  2. Step 2: Convert to fraction form
    394,862/577,485 = 577,485/x
  3. Step 3: Cross multiply
    394,862x = 577,485 × 577,485
  4. Step 4: Simplify right side
    394,862x = 333,488,925,225
  5. Step 5: Solve for x
    x = 333,488,925,225/394,862
  6. Step 6: Final answer
    x = 844,570.83

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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.