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Finding the Third Proportional to 165,286 and 339,284

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Solution

The third proportional to 165,286 and 339,284 is: 696,451.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,286 : 339,284 = 339,284 : x
  2. Step 2: Convert to fraction form
    165,286/339,284 = 339,284/x
  3. Step 3: Cross multiply
    165,286x = 339,284 × 339,284
  4. Step 4: Simplify right side
    165,286x = 115,113,632,656
  5. Step 5: Solve for x
    x = 115,113,632,656/165,286
  6. Step 6: Final answer
    x = 696,451.20

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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.