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Finding the Third Proportional to 81,918 and 179,896.50

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Solution

The third proportional to 81,918 and 179,896.50 is: 395,062.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,918 : 179,896.50 = 179,896.50 : x
  2. Step 2: Convert to fraction form
    81,918/179,896.50 = 179,896.50/x
  3. Step 3: Cross multiply
    81,918x = 179,896.50 × 179,896.50
  4. Step 4: Simplify right side
    81,918x = 32,362,750,712.25
  5. Step 5: Solve for x
    x = 32,362,750,712.25/81,918
  6. Step 6: Final answer
    x = 395,062.75

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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.