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Finding the Third Proportional to 15,531 and 21,954

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Solution

The third proportional to 15,531 and 21,954 is: 31,033.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,531 : 21,954 = 21,954 : x
  2. Step 2: Convert to fraction form
    15,531/21,954 = 21,954/x
  3. Step 3: Cross multiply
    15,531x = 21,954 × 21,954
  4. Step 4: Simplify right side
    15,531x = 481,978,116
  5. Step 5: Solve for x
    x = 481,978,116/15,531
  6. Step 6: Final answer
    x = 31,033.30

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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.