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Finding the Third Proportional to 9,992 and 21,847

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Solution

The third proportional to 9,992 and 21,847 is: 47,767.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,992 : 21,847 = 21,847 : x
  2. Step 2: Convert to fraction form
    9,992/21,847 = 21,847/x
  3. Step 3: Cross multiply
    9,992x = 21,847 × 21,847
  4. Step 4: Simplify right side
    9,992x = 477,291,409
  5. Step 5: Solve for x
    x = 477,291,409/9,992
  6. Step 6: Final answer
    x = 47,767.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.