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Finding the Third Proportional to 20,340 and 41,935

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Solution

The third proportional to 20,340 and 41,935 is: 86,457.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,340 : 41,935 = 41,935 : x
  2. Step 2: Convert to fraction form
    20,340/41,935 = 41,935/x
  3. Step 3: Cross multiply
    20,340x = 41,935 × 41,935
  4. Step 4: Simplify right side
    20,340x = 1,758,544,225
  5. Step 5: Solve for x
    x = 1,758,544,225/20,340
  6. Step 6: Final answer
    x = 86,457.43

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.