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Finding the Third Proportional to 37,679 and 81,190

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Solution

The third proportional to 37,679 and 81,190 is: 174,946.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,679 : 81,190 = 81,190 : x
  2. Step 2: Convert to fraction form
    37,679/81,190 = 81,190/x
  3. Step 3: Cross multiply
    37,679x = 81,190 × 81,190
  4. Step 4: Simplify right side
    37,679x = 6,591,816,100
  5. Step 5: Solve for x
    x = 6,591,816,100/37,679
  6. Step 6: Final answer
    x = 174,946.68

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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.