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Finding the Third Proportional to 236,479 and 339,956

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Solution

The third proportional to 236,479 and 339,956 is: 488,711.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,479 : 339,956 = 339,956 : x
  2. Step 2: Convert to fraction form
    236,479/339,956 = 339,956/x
  3. Step 3: Cross multiply
    236,479x = 339,956 × 339,956
  4. Step 4: Simplify right side
    236,479x = 115,570,081,936
  5. Step 5: Solve for x
    x = 115,570,081,936/236,479
  6. Step 6: Final answer
    x = 488,711.82

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.