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Finding the Third Proportional to 80,212 and 162,372

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Solution

The third proportional to 80,212 and 162,372 is: 328,687.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,212 : 162,372 = 162,372 : x
  2. Step 2: Convert to fraction form
    80,212/162,372 = 162,372/x
  3. Step 3: Cross multiply
    80,212x = 162,372 × 162,372
  4. Step 4: Simplify right side
    80,212x = 26,364,666,384
  5. Step 5: Solve for x
    x = 26,364,666,384/80,212
  6. Step 6: Final answer
    x = 328,687.31

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.