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Finding the Third Proportional to 77,966 and 171,274

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Solution

The third proportional to 77,966 and 171,274 is: 376,250.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,966 : 171,274 = 171,274 : x
  2. Step 2: Convert to fraction form
    77,966/171,274 = 171,274/x
  3. Step 3: Cross multiply
    77,966x = 171,274 × 171,274
  4. Step 4: Simplify right side
    77,966x = 29,334,783,076
  5. Step 5: Solve for x
    x = 29,334,783,076/77,966
  6. Step 6: Final answer
    x = 376,250.97

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.