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Finding the Third Proportional to 288,078 and 620,568

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Solution

The third proportional to 288,078 and 620,568 is: 1,336,806.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,078 : 620,568 = 620,568 : x
  2. Step 2: Convert to fraction form
    288,078/620,568 = 620,568/x
  3. Step 3: Cross multiply
    288,078x = 620,568 × 620,568
  4. Step 4: Simplify right side
    288,078x = 385,104,642,624
  5. Step 5: Solve for x
    x = 385,104,642,624/288,078
  6. Step 6: Final answer
    x = 1,336,806.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.