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Finding the Third Proportional to 37,420 and 81,880

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Solution

The third proportional to 37,420 and 81,880 is: 179,164.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,420 : 81,880 = 81,880 : x
  2. Step 2: Convert to fraction form
    37,420/81,880 = 81,880/x
  3. Step 3: Cross multiply
    37,420x = 81,880 × 81,880
  4. Step 4: Simplify right side
    37,420x = 6,704,334,400
  5. Step 5: Solve for x
    x = 6,704,334,400/37,420
  6. Step 6: Final answer
    x = 179,164.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.