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Finding the Third Proportional to 299,739 and 627,189

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Solution

The third proportional to 299,739 and 627,189 is: 1,312,361.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,739 : 627,189 = 627,189 : x
  2. Step 2: Convert to fraction form
    299,739/627,189 = 627,189/x
  3. Step 3: Cross multiply
    299,739x = 627,189 × 627,189
  4. Step 4: Simplify right side
    299,739x = 393,366,041,721
  5. Step 5: Solve for x
    x = 393,366,041,721/299,739
  6. Step 6: Final answer
    x = 1,312,361.89

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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.