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Finding the Third Proportional to 38,186 and 81,880

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Solution

The third proportional to 38,186 and 81,880 is: 175,570.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,186 : 81,880 = 81,880 : x
  2. Step 2: Convert to fraction form
    38,186/81,880 = 81,880/x
  3. Step 3: Cross multiply
    38,186x = 81,880 × 81,880
  4. Step 4: Simplify right side
    38,186x = 6,704,334,400
  5. Step 5: Solve for x
    x = 6,704,334,400/38,186
  6. Step 6: Final answer
    x = 175,570.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.