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Finding the Third Proportional to 21,906 and 47,641

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Solution

The third proportional to 21,906 and 47,641 is: 103,609.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,906 : 47,641 = 47,641 : x
  2. Step 2: Convert to fraction form
    21,906/47,641 = 47,641/x
  3. Step 3: Cross multiply
    21,906x = 47,641 × 47,641
  4. Step 4: Simplify right side
    21,906x = 2,269,664,881
  5. Step 5: Solve for x
    x = 2,269,664,881/21,906
  6. Step 6: Final answer
    x = 103,609.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.