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Finding the Third Proportional to 18,219 and 37,107

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Solution

The third proportional to 18,219 and 37,107 is: 75,576.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,219 : 37,107 = 37,107 : x
  2. Step 2: Convert to fraction form
    18,219/37,107 = 37,107/x
  3. Step 3: Cross multiply
    18,219x = 37,107 × 37,107
  4. Step 4: Simplify right side
    18,219x = 1,376,929,449
  5. Step 5: Solve for x
    x = 1,376,929,449/18,219
  6. Step 6: Final answer
    x = 75,576.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.