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Finding the Third Proportional to 339,519 and 509,318

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Solution

The third proportional to 339,519 and 509,318 is: 764,036.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,519 : 509,318 = 509,318 : x
  2. Step 2: Convert to fraction form
    339,519/509,318 = 509,318/x
  3. Step 3: Cross multiply
    339,519x = 509,318 × 509,318
  4. Step 4: Simplify right side
    339,519x = 259,404,825,124
  5. Step 5: Solve for x
    x = 259,404,825,124/339,519
  6. Step 6: Final answer
    x = 764,036.25

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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.