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Finding the Third Proportional to 81,072 and 178,128

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Solution

The third proportional to 81,072 and 178,128 is: 391,375.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,072 : 178,128 = 178,128 : x
  2. Step 2: Convert to fraction form
    81,072/178,128 = 178,128/x
  3. Step 3: Cross multiply
    81,072x = 178,128 × 178,128
  4. Step 4: Simplify right side
    81,072x = 31,729,584,384
  5. Step 5: Solve for x
    x = 31,729,584,384/81,072
  6. Step 6: Final answer
    x = 391,375.37

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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.