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Finding the Third Proportional to 389,512 and 582,710

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Solution

The third proportional to 389,512 and 582,710 is: 871,734.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,512 : 582,710 = 582,710 : x
  2. Step 2: Convert to fraction form
    389,512/582,710 = 582,710/x
  3. Step 3: Cross multiply
    389,512x = 582,710 × 582,710
  4. Step 4: Simplify right side
    389,512x = 339,550,944,100
  5. Step 5: Solve for x
    x = 339,550,944,100/389,512
  6. Step 6: Final answer
    x = 871,734.23

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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.