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Finding the Third Proportional to 21,993 and 51,865

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Solution

The third proportional to 21,993 and 51,865 is: 122,310.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,993 : 51,865 = 51,865 : x
  2. Step 2: Convert to fraction form
    21,993/51,865 = 51,865/x
  3. Step 3: Cross multiply
    21,993x = 51,865 × 51,865
  4. Step 4: Simplify right side
    21,993x = 2,689,978,225
  5. Step 5: Solve for x
    x = 2,689,978,225/21,993
  6. Step 6: Final answer
    x = 122,310.65

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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.