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Finding the Third Proportional to 20,311 and 41,179

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Solution

The third proportional to 20,311 and 41,179 is: 83,487.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,311 : 41,179 = 41,179 : x
  2. Step 2: Convert to fraction form
    20,311/41,179 = 41,179/x
  3. Step 3: Cross multiply
    20,311x = 41,179 × 41,179
  4. Step 4: Simplify right side
    20,311x = 1,695,710,041
  5. Step 5: Solve for x
    x = 1,695,710,041/20,311
  6. Step 6: Final answer
    x = 83,487.27

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.