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Finding the Third Proportional to 301,831 and 628,466

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Solution

The third proportional to 301,831 and 628,466 is: 1,308,578.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,831 : 628,466 = 628,466 : x
  2. Step 2: Convert to fraction form
    301,831/628,466 = 628,466/x
  3. Step 3: Cross multiply
    301,831x = 628,466 × 628,466
  4. Step 4: Simplify right side
    301,831x = 394,969,513,156
  5. Step 5: Solve for x
    x = 394,969,513,156/301,831
  6. Step 6: Final answer
    x = 1,308,578.35

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.