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Finding the Third Proportional to 81,606 and 178,188

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Solution

The third proportional to 81,606 and 178,188 is: 389,076.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,606 : 178,188 = 178,188 : x
  2. Step 2: Convert to fraction form
    81,606/178,188 = 178,188/x
  3. Step 3: Cross multiply
    81,606x = 178,188 × 178,188
  4. Step 4: Simplify right side
    81,606x = 31,750,963,344
  5. Step 5: Solve for x
    x = 31,750,963,344/81,606
  6. Step 6: Final answer
    x = 389,076.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.