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Finding the Third Proportional to 37,728 and 81,946

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Solution

The third proportional to 37,728 and 81,946 is: 177,988.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,728 : 81,946 = 81,946 : x
  2. Step 2: Convert to fraction form
    37,728/81,946 = 81,946/x
  3. Step 3: Cross multiply
    37,728x = 81,946 × 81,946
  4. Step 4: Simplify right side
    37,728x = 6,715,146,916
  5. Step 5: Solve for x
    x = 6,715,146,916/37,728
  6. Step 6: Final answer
    x = 177,988.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.