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Finding the Third Proportional to 387,777 and 582,075

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Solution

The third proportional to 387,777 and 582,075 is: 873,727.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,777 : 582,075 = 582,075 : x
  2. Step 2: Convert to fraction form
    387,777/582,075 = 582,075/x
  3. Step 3: Cross multiply
    387,777x = 582,075 × 582,075
  4. Step 4: Simplify right side
    387,777x = 338,811,305,625
  5. Step 5: Solve for x
    x = 338,811,305,625/387,777
  6. Step 6: Final answer
    x = 873,727.18

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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.