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Finding the Third Proportional to 81,831 and 178,848

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Solution

The third proportional to 81,831 and 178,848 is: 390,886.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,831 : 178,848 = 178,848 : x
  2. Step 2: Convert to fraction form
    81,831/178,848 = 178,848/x
  3. Step 3: Cross multiply
    81,831x = 178,848 × 178,848
  4. Step 4: Simplify right side
    81,831x = 31,986,607,104
  5. Step 5: Solve for x
    x = 31,986,607,104/81,831
  6. Step 6: Final answer
    x = 390,886.18

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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.