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Finding the Third Proportional to 299,750 and 627,214

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Solution

The third proportional to 299,750 and 627,214 is: 1,312,418.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,750 : 627,214 = 627,214 : x
  2. Step 2: Convert to fraction form
    299,750/627,214 = 627,214/x
  3. Step 3: Cross multiply
    299,750x = 627,214 × 627,214
  4. Step 4: Simplify right side
    299,750x = 393,397,401,796
  5. Step 5: Solve for x
    x = 393,397,401,796/299,750
  6. Step 6: Final answer
    x = 1,312,418.35

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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.