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Finding the Third Proportional to 21,456 and 47,825

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Solution

The third proportional to 21,456 and 47,825 is: 106,600.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,456 : 47,825 = 47,825 : x
  2. Step 2: Convert to fraction form
    21,456/47,825 = 47,825/x
  3. Step 3: Cross multiply
    21,456x = 47,825 × 47,825
  4. Step 4: Simplify right side
    21,456x = 2,287,230,625
  5. Step 5: Solve for x
    x = 2,287,230,625/21,456
  6. Step 6: Final answer
    x = 106,600.98

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.