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Finding the Third Proportional to 20,180 and 40,791

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Solution

The third proportional to 20,180 and 40,791 is: 82,453.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,180 : 40,791 = 40,791 : x
  2. Step 2: Convert to fraction form
    20,180/40,791 = 40,791/x
  3. Step 3: Cross multiply
    20,180x = 40,791 × 40,791
  4. Step 4: Simplify right side
    20,180x = 1,663,905,681
  5. Step 5: Solve for x
    x = 1,663,905,681/20,180
  6. Step 6: Final answer
    x = 82,453.21

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.