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Finding the Third Proportional to 21,533 and 47,218

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Solution

The third proportional to 21,533 and 47,218 is: 103,540.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,533 : 47,218 = 47,218 : x
  2. Step 2: Convert to fraction form
    21,533/47,218 = 47,218/x
  3. Step 3: Cross multiply
    21,533x = 47,218 × 47,218
  4. Step 4: Simplify right side
    21,533x = 2,229,539,524
  5. Step 5: Solve for x
    x = 2,229,539,524/21,533
  6. Step 6: Final answer
    x = 103,540.59

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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.