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Finding the Third Proportional to 37,422 and 81,756

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Solution

The third proportional to 37,422 and 81,756 is: 178,612.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,422 : 81,756 = 81,756 : x
  2. Step 2: Convert to fraction form
    37,422/81,756 = 81,756/x
  3. Step 3: Cross multiply
    37,422x = 81,756 × 81,756
  4. Step 4: Simplify right side
    37,422x = 6,684,043,536
  5. Step 5: Solve for x
    x = 6,684,043,536/37,422
  6. Step 6: Final answer
    x = 178,612.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.