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Finding the Third Proportional to 37,686 and 81,934

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Solution

The third proportional to 37,686 and 81,934 is: 178,134.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,686 : 81,934 = 81,934 : x
  2. Step 2: Convert to fraction form
    37,686/81,934 = 81,934/x
  3. Step 3: Cross multiply
    37,686x = 81,934 × 81,934
  4. Step 4: Simplify right side
    37,686x = 6,713,180,356
  5. Step 5: Solve for x
    x = 6,713,180,356/37,686
  6. Step 6: Final answer
    x = 178,134.60

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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.