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Finding the Third Proportional to 21,849 and 47,406

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Solution

The third proportional to 21,849 and 47,406 is: 102,857.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,849 : 47,406 = 47,406 : x
  2. Step 2: Convert to fraction form
    21,849/47,406 = 47,406/x
  3. Step 3: Cross multiply
    21,849x = 47,406 × 47,406
  4. Step 4: Simplify right side
    21,849x = 2,247,328,836
  5. Step 5: Solve for x
    x = 2,247,328,836/21,849
  6. Step 6: Final answer
    x = 102,857.29

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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.