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Finding the Third Proportional to 301,828 and 628,460

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Solution

The third proportional to 301,828 and 628,460 is: 1,308,566.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,828 : 628,460 = 628,460 : x
  2. Step 2: Convert to fraction form
    301,828/628,460 = 628,460/x
  3. Step 3: Cross multiply
    301,828x = 628,460 × 628,460
  4. Step 4: Simplify right side
    301,828x = 394,961,971,600
  5. Step 5: Solve for x
    x = 394,961,971,600/301,828
  6. Step 6: Final answer
    x = 1,308,566.37

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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.