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Finding the Third Proportional to 214,170 and 300,843

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Solution

The third proportional to 214,170 and 300,843 is: 422,591.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,170 : 300,843 = 300,843 : x
  2. Step 2: Convert to fraction form
    214,170/300,843 = 300,843/x
  3. Step 3: Cross multiply
    214,170x = 300,843 × 300,843
  4. Step 4: Simplify right side
    214,170x = 90,506,510,649
  5. Step 5: Solve for x
    x = 90,506,510,649/214,170
  6. Step 6: Final answer
    x = 422,591.92

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.