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Finding the Third Proportional to 389,519 and 582,722

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Solution

The third proportional to 389,519 and 582,722 is: 871,754.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,519 : 582,722 = 582,722 : x
  2. Step 2: Convert to fraction form
    389,519/582,722 = 582,722/x
  3. Step 3: Cross multiply
    389,519x = 582,722 × 582,722
  4. Step 4: Simplify right side
    389,519x = 339,564,929,284
  5. Step 5: Solve for x
    x = 339,564,929,284/389,519
  6. Step 6: Final answer
    x = 871,754.47

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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.