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Finding the Third Proportional to 17,397 and 25,785

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Solution

The third proportional to 17,397 and 25,785 is: 38,217.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,397 : 25,785 = 25,785 : x
  2. Step 2: Convert to fraction form
    17,397/25,785 = 25,785/x
  3. Step 3: Cross multiply
    17,397x = 25,785 × 25,785
  4. Step 4: Simplify right side
    17,397x = 664,866,225
  5. Step 5: Solve for x
    x = 664,866,225/17,397
  6. Step 6: Final answer
    x = 38,217.29

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.