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Finding the Third Proportional to 17,890 and 38,857

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Solution

The third proportional to 17,890 and 38,857 is: 84,397.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,890 : 38,857 = 38,857 : x
  2. Step 2: Convert to fraction form
    17,890/38,857 = 38,857/x
  3. Step 3: Cross multiply
    17,890x = 38,857 × 38,857
  4. Step 4: Simplify right side
    17,890x = 1,509,866,449
  5. Step 5: Solve for x
    x = 1,509,866,449/17,890
  6. Step 6: Final answer
    x = 84,397.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.