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Finding the Third Proportional to 17,682 and 40,321

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Solution

The third proportional to 17,682 and 40,321 is: 91,945.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,682 : 40,321 = 40,321 : x
  2. Step 2: Convert to fraction form
    17,682/40,321 = 40,321/x
  3. Step 3: Cross multiply
    17,682x = 40,321 × 40,321
  4. Step 4: Simplify right side
    17,682x = 1,625,783,041
  5. Step 5: Solve for x
    x = 1,625,783,041/17,682
  6. Step 6: Final answer
    x = 91,945.65

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.