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Finding the Third Proportional to 20,212 and 38,843

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Solution

The third proportional to 20,212 and 38,843 is: 74,647.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,212 : 38,843 = 38,843 : x
  2. Step 2: Convert to fraction form
    20,212/38,843 = 38,843/x
  3. Step 3: Cross multiply
    20,212x = 38,843 × 38,843
  4. Step 4: Simplify right side
    20,212x = 1,508,778,649
  5. Step 5: Solve for x
    x = 1,508,778,649/20,212
  6. Step 6: Final answer
    x = 74,647.67

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.