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Finding the Third Proportional to 40,424 and 87,843

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Solution

The third proportional to 40,424 and 87,843 is: 190,886.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,424 : 87,843 = 87,843 : x
  2. Step 2: Convert to fraction form
    40,424/87,843 = 87,843/x
  3. Step 3: Cross multiply
    40,424x = 87,843 × 87,843
  4. Step 4: Simplify right side
    40,424x = 7,716,392,649
  5. Step 5: Solve for x
    x = 7,716,392,649/40,424
  6. Step 6: Final answer
    x = 190,886.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.