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Finding the Third Proportional to 38,936 and 81,760

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Solution

The third proportional to 38,936 and 81,760 is: 171,684.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,936 : 81,760 = 81,760 : x
  2. Step 2: Convert to fraction form
    38,936/81,760 = 81,760/x
  3. Step 3: Cross multiply
    38,936x = 81,760 × 81,760
  4. Step 4: Simplify right side
    38,936x = 6,684,697,600
  5. Step 5: Solve for x
    x = 6,684,697,600/38,936
  6. Step 6: Final answer
    x = 171,684.24

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.