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Finding the Third Proportional to 389,516 and 582,718

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Solution

The third proportional to 389,516 and 582,718 is: 871,749.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,516 : 582,718 = 582,718 : x
  2. Step 2: Convert to fraction form
    389,516/582,718 = 582,718/x
  3. Step 3: Cross multiply
    389,516x = 582,718 × 582,718
  4. Step 4: Simplify right side
    389,516x = 339,560,267,524
  5. Step 5: Solve for x
    x = 339,560,267,524/389,516
  6. Step 6: Final answer
    x = 871,749.22

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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.