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Finding the Third Proportional to 389,623 and 582,866

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Solution

The third proportional to 389,623 and 582,866 is: 871,952.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,623 : 582,866 = 582,866 : x
  2. Step 2: Convert to fraction form
    389,623/582,866 = 582,866/x
  3. Step 3: Cross multiply
    389,623x = 582,866 × 582,866
  4. Step 4: Simplify right side
    389,623x = 339,732,773,956
  5. Step 5: Solve for x
    x = 339,732,773,956/389,623
  6. Step 6: Final answer
    x = 871,952.56

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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.