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Finding the Third Proportional to 40,198 and 84,911

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Solution

The third proportional to 40,198 and 84,911 is: 179,359.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,198 : 84,911 = 84,911 : x
  2. Step 2: Convert to fraction form
    40,198/84,911 = 84,911/x
  3. Step 3: Cross multiply
    40,198x = 84,911 × 84,911
  4. Step 4: Simplify right side
    40,198x = 7,209,877,921
  5. Step 5: Solve for x
    x = 7,209,877,921/40,198
  6. Step 6: Final answer
    x = 179,359.12

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.