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Finding the Third Proportional to 21,969 and 51,811

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Solution

The third proportional to 21,969 and 51,811 is: 122,189.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,969 : 51,811 = 51,811 : x
  2. Step 2: Convert to fraction form
    21,969/51,811 = 51,811/x
  3. Step 3: Cross multiply
    21,969x = 51,811 × 51,811
  4. Step 4: Simplify right side
    21,969x = 2,684,379,721
  5. Step 5: Solve for x
    x = 2,684,379,721/21,969
  6. Step 6: Final answer
    x = 122,189.44

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.