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Finding the Third Proportional to 389,619 and 582,860

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Solution

The third proportional to 389,619 and 582,860 is: 871,943.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,619 : 582,860 = 582,860 : x
  2. Step 2: Convert to fraction form
    389,619/582,860 = 582,860/x
  3. Step 3: Cross multiply
    389,619x = 582,860 × 582,860
  4. Step 4: Simplify right side
    389,619x = 339,725,779,600
  5. Step 5: Solve for x
    x = 339,725,779,600/389,619
  6. Step 6: Final answer
    x = 871,943.56

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