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Finding the Third Proportional to 299,749 and 627,212

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Solution

The third proportional to 299,749 and 627,212 is: 1,312,414.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,749 : 627,212 = 627,212 : x
  2. Step 2: Convert to fraction form
    299,749/627,212 = 627,212/x
  3. Step 3: Cross multiply
    299,749x = 627,212 × 627,212
  4. Step 4: Simplify right side
    299,749x = 393,394,892,944
  5. Step 5: Solve for x
    x = 393,394,892,944/299,749
  6. Step 6: Final answer
    x = 1,312,414.36

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.