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Finding the Third Proportional to 21,198 and 45,318

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Solution

The third proportional to 21,198 and 45,318 is: 96,882.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,198 : 45,318 = 45,318 : x
  2. Step 2: Convert to fraction form
    21,198/45,318 = 45,318/x
  3. Step 3: Cross multiply
    21,198x = 45,318 × 45,318
  4. Step 4: Simplify right side
    21,198x = 2,053,721,124
  5. Step 5: Solve for x
    x = 2,053,721,124/21,198
  6. Step 6: Final answer
    x = 96,882.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.