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Finding the Third Proportional to 299,745 and 627,201

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Solution

The third proportional to 299,745 and 627,201 is: 1,312,385.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,745 : 627,201 = 627,201 : x
  2. Step 2: Convert to fraction form
    299,745/627,201 = 627,201/x
  3. Step 3: Cross multiply
    299,745x = 627,201 × 627,201
  4. Step 4: Simplify right side
    299,745x = 393,381,094,401
  5. Step 5: Solve for x
    x = 393,381,094,401/299,745
  6. Step 6: Final answer
    x = 1,312,385.84

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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.