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Finding the Third Proportional to 339,738 and 509,550

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Solution

The third proportional to 339,738 and 509,550 is: 764,239.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,738 : 509,550 = 509,550 : x
  2. Step 2: Convert to fraction form
    339,738/509,550 = 509,550/x
  3. Step 3: Cross multiply
    339,738x = 509,550 × 509,550
  4. Step 4: Simplify right side
    339,738x = 259,641,202,500
  5. Step 5: Solve for x
    x = 259,641,202,500/339,738
  6. Step 6: Final answer
    x = 764,239.51

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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.