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Finding the Third Proportional to 389,616 and 582,853

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Solution

The third proportional to 389,616 and 582,853 is: 871,929.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,616 : 582,853 = 582,853 : x
  2. Step 2: Convert to fraction form
    389,616/582,853 = 582,853/x
  3. Step 3: Cross multiply
    389,616x = 582,853 × 582,853
  4. Step 4: Simplify right side
    389,616x = 339,717,619,609
  5. Step 5: Solve for x
    x = 339,717,619,609/389,616
  6. Step 6: Final answer
    x = 871,929.33

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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.