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Finding the Third Proportional to 165,249 and 340,278

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Solution

The third proportional to 165,249 and 340,278 is: 700,694.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,249 : 340,278 = 340,278 : x
  2. Step 2: Convert to fraction form
    165,249/340,278 = 340,278/x
  3. Step 3: Cross multiply
    165,249x = 340,278 × 340,278
  4. Step 4: Simplify right side
    165,249x = 115,789,117,284
  5. Step 5: Solve for x
    x = 115,789,117,284/165,249
  6. Step 6: Final answer
    x = 700,694.81

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.