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Finding the Third Proportional to 80,388 and 162,966

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Solution

The third proportional to 80,388 and 162,966 is: 330,371.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,388 : 162,966 = 162,966 : x
  2. Step 2: Convert to fraction form
    80,388/162,966 = 162,966/x
  3. Step 3: Cross multiply
    80,388x = 162,966 × 162,966
  4. Step 4: Simplify right side
    80,388x = 26,557,917,156
  5. Step 5: Solve for x
    x = 26,557,917,156/80,388
  6. Step 6: Final answer
    x = 330,371.66

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.