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Finding the Third Proportional to 21,947 and 29,805

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Solution

The third proportional to 21,947 and 29,805 is: 40,476.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,947 : 29,805 = 29,805 : x
  2. Step 2: Convert to fraction form
    21,947/29,805 = 29,805/x
  3. Step 3: Cross multiply
    21,947x = 29,805 × 29,805
  4. Step 4: Simplify right side
    21,947x = 888,338,025
  5. Step 5: Solve for x
    x = 888,338,025/21,947
  6. Step 6: Final answer
    x = 40,476.51

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.