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Finding the Third Proportional to 40,198 and 81,490

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Solution

The third proportional to 40,198 and 81,490 is: 165,197.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,198 : 81,490 = 81,490 : x
  2. Step 2: Convert to fraction form
    40,198/81,490 = 81,490/x
  3. Step 3: Cross multiply
    40,198x = 81,490 × 81,490
  4. Step 4: Simplify right side
    40,198x = 6,640,620,100
  5. Step 5: Solve for x
    x = 6,640,620,100/40,198
  6. Step 6: Final answer
    x = 165,197.77

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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.