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Finding the Third Proportional to 20,427 and 30,813

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Solution

The third proportional to 20,427 and 30,813 is: 46,479.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,427 : 30,813 = 30,813 : x
  2. Step 2: Convert to fraction form
    20,427/30,813 = 30,813/x
  3. Step 3: Cross multiply
    20,427x = 30,813 × 30,813
  4. Step 4: Simplify right side
    20,427x = 949,440,969
  5. Step 5: Solve for x
    x = 949,440,969/20,427
  6. Step 6: Final answer
    x = 46,479.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.