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Finding the Third Proportional to 37,690 and 81,212

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Solution

The third proportional to 37,690 and 81,212 is: 174,990.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,690 : 81,212 = 81,212 : x
  2. Step 2: Convert to fraction form
    37,690/81,212 = 81,212/x
  3. Step 3: Cross multiply
    37,690x = 81,212 × 81,212
  4. Step 4: Simplify right side
    37,690x = 6,595,388,944
  5. Step 5: Solve for x
    x = 6,595,388,944/37,690
  6. Step 6: Final answer
    x = 174,990.42

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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.