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Finding the Third Proportional to 86,812 and 178,232

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Solution

The third proportional to 86,812 and 178,232 is: 365,924.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,812 : 178,232 = 178,232 : x
  2. Step 2: Convert to fraction form
    86,812/178,232 = 178,232/x
  3. Step 3: Cross multiply
    86,812x = 178,232 × 178,232
  4. Step 4: Simplify right side
    86,812x = 31,766,645,824
  5. Step 5: Solve for x
    x = 31,766,645,824/86,812
  6. Step 6: Final answer
    x = 365,924.59

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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.