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Finding the Third Proportional to 20,125 and 21,947

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Solution

The third proportional to 20,125 and 21,947 is: 23,933.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,125 : 21,947 = 21,947 : x
  2. Step 2: Convert to fraction form
    20,125/21,947 = 21,947/x
  3. Step 3: Cross multiply
    20,125x = 21,947 × 21,947
  4. Step 4: Simplify right side
    20,125x = 481,670,809
  5. Step 5: Solve for x
    x = 481,670,809/20,125
  6. Step 6: Final answer
    x = 23,933.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.