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Finding the Third Proportional to 10,753 and 21,938

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Solution

The third proportional to 10,753 and 21,938 is: 44,757.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,753 : 21,938 = 21,938 : x
  2. Step 2: Convert to fraction form
    10,753/21,938 = 21,938/x
  3. Step 3: Cross multiply
    10,753x = 21,938 × 21,938
  4. Step 4: Simplify right side
    10,753x = 481,275,844
  5. Step 5: Solve for x
    x = 481,275,844/10,753
  6. Step 6: Final answer
    x = 44,757.36

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.