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Finding the Third Proportional to 21,913 and 48,218

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Solution

The third proportional to 21,913 and 48,218 is: 106,100.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,913 : 48,218 = 48,218 : x
  2. Step 2: Convert to fraction form
    21,913/48,218 = 48,218/x
  3. Step 3: Cross multiply
    21,913x = 48,218 × 48,218
  4. Step 4: Simplify right side
    21,913x = 2,324,975,524
  5. Step 5: Solve for x
    x = 2,324,975,524/21,913
  6. Step 6: Final answer
    x = 106,100.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.