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Finding the Third Proportional to 21,865 and 33,763

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Solution

The third proportional to 21,865 and 33,763 is: 52,135.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,865 : 33,763 = 33,763 : x
  2. Step 2: Convert to fraction form
    21,865/33,763 = 33,763/x
  3. Step 3: Cross multiply
    21,865x = 33,763 × 33,763
  4. Step 4: Simplify right side
    21,865x = 1,139,940,169
  5. Step 5: Solve for x
    x = 1,139,940,169/21,865
  6. Step 6: Final answer
    x = 52,135.38

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.