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Finding the Third Proportional to 11,551 and 17,431

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Solution

The third proportional to 11,551 and 17,431 is: 26,304.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,551 : 17,431 = 17,431 : x
  2. Step 2: Convert to fraction form
    11,551/17,431 = 17,431/x
  3. Step 3: Cross multiply
    11,551x = 17,431 × 17,431
  4. Step 4: Simplify right side
    11,551x = 303,839,761
  5. Step 5: Solve for x
    x = 303,839,761/11,551
  6. Step 6: Final answer
    x = 26,304.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.