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Finding the Third Proportional to 109,686 and 165,338

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Solution

The third proportional to 109,686 and 165,338 is: 249,226.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,686 : 165,338 = 165,338 : x
  2. Step 2: Convert to fraction form
    109,686/165,338 = 165,338/x
  3. Step 3: Cross multiply
    109,686x = 165,338 × 165,338
  4. Step 4: Simplify right side
    109,686x = 27,336,654,244
  5. Step 5: Solve for x
    x = 27,336,654,244/109,686
  6. Step 6: Final answer
    x = 249,226.47

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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.