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Finding the Third Proportional to 129,191 and 283,843

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Solution

The third proportional to 129,191 and 283,843 is: 623,625.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,191 : 283,843 = 283,843 : x
  2. Step 2: Convert to fraction form
    129,191/283,843 = 283,843/x
  3. Step 3: Cross multiply
    129,191x = 283,843 × 283,843
  4. Step 4: Simplify right side
    129,191x = 80,566,848,649
  5. Step 5: Solve for x
    x = 80,566,848,649/129,191
  6. Step 6: Final answer
    x = 623,625.86

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.