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Finding the Third Proportional to 21,163 and 43,606

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Solution

The third proportional to 21,163 and 43,606 is: 89,849.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,163 : 43,606 = 43,606 : x
  2. Step 2: Convert to fraction form
    21,163/43,606 = 43,606/x
  3. Step 3: Cross multiply
    21,163x = 43,606 × 43,606
  4. Step 4: Simplify right side
    21,163x = 1,901,483,236
  5. Step 5: Solve for x
    x = 1,901,483,236/21,163
  6. Step 6: Final answer
    x = 89,849.42

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.