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Finding the Third Proportional to 20,813 and 45,161

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Solution

The third proportional to 20,813 and 45,161 is: 97,992.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,813 : 45,161 = 45,161 : x
  2. Step 2: Convert to fraction form
    20,813/45,161 = 45,161/x
  3. Step 3: Cross multiply
    20,813x = 45,161 × 45,161
  4. Step 4: Simplify right side
    20,813x = 2,039,515,921
  5. Step 5: Solve for x
    x = 2,039,515,921/20,813
  6. Step 6: Final answer
    x = 97,992.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.