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Finding the Third Proportional to 21,698 and 47,374

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Solution

The third proportional to 21,698 and 47,374 is: 103,433.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,698 : 47,374 = 47,374 : x
  2. Step 2: Convert to fraction form
    21,698/47,374 = 47,374/x
  3. Step 3: Cross multiply
    21,698x = 47,374 × 47,374
  4. Step 4: Simplify right side
    21,698x = 2,244,295,876
  5. Step 5: Solve for x
    x = 2,244,295,876/21,698
  6. Step 6: Final answer
    x = 103,433.31

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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.