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Finding the Third Proportional to 81,235 and 178,162

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Solution

The third proportional to 81,235 and 178,162 is: 390,739.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,235 : 178,162 = 178,162 : x
  2. Step 2: Convert to fraction form
    81,235/178,162 = 178,162/x
  3. Step 3: Cross multiply
    81,235x = 178,162 × 178,162
  4. Step 4: Simplify right side
    81,235x = 31,741,698,244
  5. Step 5: Solve for x
    x = 31,741,698,244/81,235
  6. Step 6: Final answer
    x = 390,739.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.