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Finding the Third Proportional to 18,378 and 38,700

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Solution

The third proportional to 18,378 and 38,700 is: 81,493.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,378 : 38,700 = 38,700 : x
  2. Step 2: Convert to fraction form
    18,378/38,700 = 38,700/x
  3. Step 3: Cross multiply
    18,378x = 38,700 × 38,700
  4. Step 4: Simplify right side
    18,378x = 1,497,690,000
  5. Step 5: Solve for x
    x = 1,497,690,000/18,378
  6. Step 6: Final answer
    x = 81,493.63

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.