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Finding the Third Proportional to 20,286 and 30,863

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Solution

The third proportional to 20,286 and 30,863 is: 46,954.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,286 : 30,863 = 30,863 : x
  2. Step 2: Convert to fraction form
    20,286/30,863 = 30,863/x
  3. Step 3: Cross multiply
    20,286x = 30,863 × 30,863
  4. Step 4: Simplify right side
    20,286x = 952,524,769
  5. Step 5: Solve for x
    x = 952,524,769/20,286
  6. Step 6: Final answer
    x = 46,954.79

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.