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Finding the Third Proportional to 18,197 and 39,019

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Solution

The third proportional to 18,197 and 39,019 is: 83,666.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,197 : 39,019 = 39,019 : x
  2. Step 2: Convert to fraction form
    18,197/39,019 = 39,019/x
  3. Step 3: Cross multiply
    18,197x = 39,019 × 39,019
  4. Step 4: Simplify right side
    18,197x = 1,522,482,361
  5. Step 5: Solve for x
    x = 1,522,482,361/18,197
  6. Step 6: Final answer
    x = 83,666.67

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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.