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Finding the Third Proportional to 389,515 and 582,716

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Solution

The third proportional to 389,515 and 582,716 is: 871,745.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,515 : 582,716 = 582,716 : x
  2. Step 2: Convert to fraction form
    389,515/582,716 = 582,716/x
  3. Step 3: Cross multiply
    389,515x = 582,716 × 582,716
  4. Step 4: Simplify right side
    389,515x = 339,557,936,656
  5. Step 5: Solve for x
    x = 339,557,936,656/389,515
  6. Step 6: Final answer
    x = 871,745.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.