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Finding the Third Proportional to 505,950 and 769,286

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Solution

The third proportional to 505,950 and 769,286 is: 1,169,682.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,950 : 769,286 = 769,286 : x
  2. Step 2: Convert to fraction form
    505,950/769,286 = 769,286/x
  3. Step 3: Cross multiply
    505,950x = 769,286 × 769,286
  4. Step 4: Simplify right side
    505,950x = 591,800,949,796
  5. Step 5: Solve for x
    x = 591,800,949,796/505,950
  6. Step 6: Final answer
    x = 1,169,682.68

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.