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Finding the Third Proportional to 17,685 and 38,286

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Solution

The third proportional to 17,685 and 38,286 is: 82,884.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,685 : 38,286 = 38,286 : x
  2. Step 2: Convert to fraction form
    17,685/38,286 = 38,286/x
  3. Step 3: Cross multiply
    17,685x = 38,286 × 38,286
  4. Step 4: Simplify right side
    17,685x = 1,465,817,796
  5. Step 5: Solve for x
    x = 1,465,817,796/17,685
  6. Step 6: Final answer
    x = 82,884.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.