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Finding the Third Proportional to 109,686 and 165,879

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Solution

The third proportional to 109,686 and 165,879 is: 250,860.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,686 : 165,879 = 165,879 : x
  2. Step 2: Convert to fraction form
    109,686/165,879 = 165,879/x
  3. Step 3: Cross multiply
    109,686x = 165,879 × 165,879
  4. Step 4: Simplify right side
    109,686x = 27,515,842,641
  5. Step 5: Solve for x
    x = 27,515,842,641/109,686
  6. Step 6: Final answer
    x = 250,860.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.