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Finding the Third Proportional to 20,382 and 41,628

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Solution

The third proportional to 20,382 and 41,628 is: 85,020.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,382 : 41,628 = 41,628 : x
  2. Step 2: Convert to fraction form
    20,382/41,628 = 41,628/x
  3. Step 3: Cross multiply
    20,382x = 41,628 × 41,628
  4. Step 4: Simplify right side
    20,382x = 1,732,890,384
  5. Step 5: Solve for x
    x = 1,732,890,384/20,382
  6. Step 6: Final answer
    x = 85,020.63

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.