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Finding the Third Proportional to 291,978 and 627,601

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Solution

The third proportional to 291,978 and 627,601 is: 1,349,016.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,978 : 627,601 = 627,601 : x
  2. Step 2: Convert to fraction form
    291,978/627,601 = 627,601/x
  3. Step 3: Cross multiply
    291,978x = 627,601 × 627,601
  4. Step 4: Simplify right side
    291,978x = 393,883,015,201
  5. Step 5: Solve for x
    x = 393,883,015,201/291,978
  6. Step 6: Final answer
    x = 1,349,016.07

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.