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Finding the Third Proportional to 285,969 and 628,338

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Solution

The third proportional to 285,969 and 628,338 is: 1,380,599.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,969 : 628,338 = 628,338 : x
  2. Step 2: Convert to fraction form
    285,969/628,338 = 628,338/x
  3. Step 3: Cross multiply
    285,969x = 628,338 × 628,338
  4. Step 4: Simplify right side
    285,969x = 394,808,642,244
  5. Step 5: Solve for x
    x = 394,808,642,244/285,969
  6. Step 6: Final answer
    x = 1,380,599.44

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.