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Finding the Third Proportional to 301,823 and 628,438

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Solution

The third proportional to 301,823 and 628,438 is: 1,308,496.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,823 : 628,438 = 628,438 : x
  2. Step 2: Convert to fraction form
    301,823/628,438 = 628,438/x
  3. Step 3: Cross multiply
    301,823x = 628,438 × 628,438
  4. Step 4: Simplify right side
    301,823x = 394,934,319,844
  5. Step 5: Solve for x
    x = 394,934,319,844/301,823
  6. Step 6: Final answer
    x = 1,308,496.44

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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.