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Finding the Third Proportional to 10,100 and 21,811

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Solution

The third proportional to 10,100 and 21,811 is: 47,100.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,100 : 21,811 = 21,811 : x
  2. Step 2: Convert to fraction form
    10,100/21,811 = 21,811/x
  3. Step 3: Cross multiply
    10,100x = 21,811 × 21,811
  4. Step 4: Simplify right side
    10,100x = 475,719,721
  5. Step 5: Solve for x
    x = 475,719,721/10,100
  6. Step 6: Final answer
    x = 47,100.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.