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Finding the Third Proportional to 165,292 and 339,296

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Solution

The third proportional to 165,292 and 339,296 is: 696,475.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,292 : 339,296 = 339,296 : x
  2. Step 2: Convert to fraction form
    165,292/339,296 = 339,296/x
  3. Step 3: Cross multiply
    165,292x = 339,296 × 339,296
  4. Step 4: Simplify right side
    165,292x = 115,121,775,616
  5. Step 5: Solve for x
    x = 115,121,775,616/165,292
  6. Step 6: Final answer
    x = 696,475.18

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.