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Finding the Third Proportional to 235,923 and 509,388

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Solution

The third proportional to 235,923 and 509,388 is: 1,099,833.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,923 : 509,388 = 509,388 : x
  2. Step 2: Convert to fraction form
    235,923/509,388 = 509,388/x
  3. Step 3: Cross multiply
    235,923x = 509,388 × 509,388
  4. Step 4: Simplify right side
    235,923x = 259,476,134,544
  5. Step 5: Solve for x
    x = 259,476,134,544/235,923
  6. Step 6: Final answer
    x = 1,099,833.99

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.