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Finding the Third Proportional to 80,072 and 163,568

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Solution

The third proportional to 80,072 and 163,568 is: 334,130.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,072 : 163,568 = 163,568 : x
  2. Step 2: Convert to fraction form
    80,072/163,568 = 163,568/x
  3. Step 3: Cross multiply
    80,072x = 163,568 × 163,568
  4. Step 4: Simplify right side
    80,072x = 26,754,490,624
  5. Step 5: Solve for x
    x = 26,754,490,624/80,072
  6. Step 6: Final answer
    x = 334,130.42

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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.