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Finding the Third Proportional to 86,831 and 178,270

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Solution

The third proportional to 86,831 and 178,270 is: 366,000.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,831 : 178,270 = 178,270 : x
  2. Step 2: Convert to fraction form
    86,831/178,270 = 178,270/x
  3. Step 3: Cross multiply
    86,831x = 178,270 × 178,270
  4. Step 4: Simplify right side
    86,831x = 31,780,192,900
  5. Step 5: Solve for x
    x = 31,780,192,900/86,831
  6. Step 6: Final answer
    x = 366,000.54

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.