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Finding the Third Proportional to 44,182 and 94,956

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Solution

The third proportional to 44,182 and 94,956 is: 204,079.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,182 : 94,956 = 94,956 : x
  2. Step 2: Convert to fraction form
    44,182/94,956 = 94,956/x
  3. Step 3: Cross multiply
    44,182x = 94,956 × 94,956
  4. Step 4: Simplify right side
    44,182x = 9,016,641,936
  5. Step 5: Solve for x
    x = 9,016,641,936/44,182
  6. Step 6: Final answer
    x = 204,079.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.