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Finding the Third Proportional to 80,719 and 164,722

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Solution

The third proportional to 80,719 and 164,722 is: 336,145.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,719 : 164,722 = 164,722 : x
  2. Step 2: Convert to fraction form
    80,719/164,722 = 164,722/x
  3. Step 3: Cross multiply
    80,719x = 164,722 × 164,722
  4. Step 4: Simplify right side
    80,719x = 27,133,337,284
  5. Step 5: Solve for x
    x = 27,133,337,284/80,719
  6. Step 6: Final answer
    x = 336,145.61

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.