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Finding the Third Proportional to 80,858 and 165,716

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Solution

The third proportional to 80,858 and 165,716 is: 339,629.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,858 : 165,716 = 165,716 : x
  2. Step 2: Convert to fraction form
    80,858/165,716 = 165,716/x
  3. Step 3: Cross multiply
    80,858x = 165,716 × 165,716
  4. Step 4: Simplify right side
    80,858x = 27,461,792,656
  5. Step 5: Solve for x
    x = 27,461,792,656/80,858
  6. Step 6: Final answer
    x = 339,629.88

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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.