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Finding the Third Proportional to 18,738 and 43,381

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Solution

The third proportional to 18,738 and 43,381 is: 100,432.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,738 : 43,381 = 43,381 : x
  2. Step 2: Convert to fraction form
    18,738/43,381 = 43,381/x
  3. Step 3: Cross multiply
    18,738x = 43,381 × 43,381
  4. Step 4: Simplify right side
    18,738x = 1,881,911,161
  5. Step 5: Solve for x
    x = 1,881,911,161/18,738
  6. Step 6: Final answer
    x = 100,432.87

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.