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Finding the Third Proportional to 9,912 and 20,938

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Solution

The third proportional to 9,912 and 20,938 is: 44,229.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,912 : 20,938 = 20,938 : x
  2. Step 2: Convert to fraction form
    9,912/20,938 = 20,938/x
  3. Step 3: Cross multiply
    9,912x = 20,938 × 20,938
  4. Step 4: Simplify right side
    9,912x = 438,399,844
  5. Step 5: Solve for x
    x = 438,399,844/9,912
  6. Step 6: Final answer
    x = 44,229.20

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.