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Finding the Third Proportional to 20,818 and 45,122

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Solution

The third proportional to 20,818 and 45,122 is: 97,799.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,818 : 45,122 = 45,122 : x
  2. Step 2: Convert to fraction form
    20,818/45,122 = 45,122/x
  3. Step 3: Cross multiply
    20,818x = 45,122 × 45,122
  4. Step 4: Simplify right side
    20,818x = 2,035,994,884
  5. Step 5: Solve for x
    x = 2,035,994,884/20,818
  6. Step 6: Final answer
    x = 97,799.74

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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.