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Finding the Third Proportional to 81,538 and 179,634

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Solution

The third proportional to 81,538 and 179,634 is: 395,746.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,538 : 179,634 = 179,634 : x
  2. Step 2: Convert to fraction form
    81,538/179,634 = 179,634/x
  3. Step 3: Cross multiply
    81,538x = 179,634 × 179,634
  4. Step 4: Simplify right side
    81,538x = 32,268,373,956
  5. Step 5: Solve for x
    x = 32,268,373,956/81,538
  6. Step 6: Final answer
    x = 395,746.45

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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.