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Finding the Third Proportional to 255,999 and 339,699

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Solution

The third proportional to 255,999 and 339,699 is: 450,765.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,999 : 339,699 = 339,699 : x
  2. Step 2: Convert to fraction form
    255,999/339,699 = 339,699/x
  3. Step 3: Cross multiply
    255,999x = 339,699 × 339,699
  4. Step 4: Simplify right side
    255,999x = 115,395,410,601
  5. Step 5: Solve for x
    x = 115,395,410,601/255,999
  6. Step 6: Final answer
    x = 450,765.08

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.