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Finding the Third Proportional to 299,705 and 627,115

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Solution

The third proportional to 299,705 and 627,115 is: 1,312,201.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,705 : 627,115 = 627,115 : x
  2. Step 2: Convert to fraction form
    299,705/627,115 = 627,115/x
  3. Step 3: Cross multiply
    299,705x = 627,115 × 627,115
  4. Step 4: Simplify right side
    299,705x = 393,273,223,225
  5. Step 5: Solve for x
    x = 393,273,223,225/299,705
  6. Step 6: Final answer
    x = 1,312,201.08

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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.