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Finding the Third Proportional to 33,615 and 81,486

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Solution

The third proportional to 33,615 and 81,486 is: 197,529.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,615 : 81,486 = 81,486 : x
  2. Step 2: Convert to fraction form
    33,615/81,486 = 81,486/x
  3. Step 3: Cross multiply
    33,615x = 81,486 × 81,486
  4. Step 4: Simplify right side
    33,615x = 6,639,968,196
  5. Step 5: Solve for x
    x = 6,639,968,196/33,615
  6. Step 6: Final answer
    x = 197,529.92

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.