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Finding the Third Proportional to 21,902 and 47,698

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Solution

The third proportional to 21,902 and 47,698 is: 103,876.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,902 : 47,698 = 47,698 : x
  2. Step 2: Convert to fraction form
    21,902/47,698 = 47,698/x
  3. Step 3: Cross multiply
    21,902x = 47,698 × 47,698
  4. Step 4: Simplify right side
    21,902x = 2,275,099,204
  5. Step 5: Solve for x
    x = 2,275,099,204/21,902
  6. Step 6: Final answer
    x = 103,876.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.