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Finding the Third Proportional to 80,868 and 170,112

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Solution

The third proportional to 80,868 and 170,112 is: 357,843.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,868 : 170,112 = 170,112 : x
  2. Step 2: Convert to fraction form
    80,868/170,112 = 170,112/x
  3. Step 3: Cross multiply
    80,868x = 170,112 × 170,112
  4. Step 4: Simplify right side
    80,868x = 28,938,092,544
  5. Step 5: Solve for x
    x = 28,938,092,544/80,868
  6. Step 6: Final answer
    x = 357,843.55

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.