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Finding the Third Proportional to 15,504 and 21,922

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Solution

The third proportional to 15,504 and 21,922 is: 30,996.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,504 : 21,922 = 21,922 : x
  2. Step 2: Convert to fraction form
    15,504/21,922 = 21,922/x
  3. Step 3: Cross multiply
    15,504x = 21,922 × 21,922
  4. Step 4: Simplify right side
    15,504x = 480,574,084
  5. Step 5: Solve for x
    x = 480,574,084/15,504
  6. Step 6: Final answer
    x = 30,996.78

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.