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Finding the Third Proportional to 12,102.50 and 17,431

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Solution

The third proportional to 12,102.50 and 17,431 is: 25,105.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,102.50 : 17,431 = 17,431 : x
  2. Step 2: Convert to fraction form
    12,102.50/17,431 = 17,431/x
  3. Step 3: Cross multiply
    12,102.50x = 17,431 × 17,431
  4. Step 4: Simplify right side
    12,102.50x = 303,839,761
  5. Step 5: Solve for x
    x = 303,839,761/12,102.50
  6. Step 6: Final answer
    x = 25,105.54

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.