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Finding the Third Proportional to 21,689 and 50,206

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Solution

The third proportional to 21,689 and 50,206 is: 116,217.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,689 : 50,206 = 50,206 : x
  2. Step 2: Convert to fraction form
    21,689/50,206 = 50,206/x
  3. Step 3: Cross multiply
    21,689x = 50,206 × 50,206
  4. Step 4: Simplify right side
    21,689x = 2,520,642,436
  5. Step 5: Solve for x
    x = 2,520,642,436/21,689
  6. Step 6: Final answer
    x = 116,217.55

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.