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Finding the Third Proportional to 328,105 and 469,189

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Solution

The third proportional to 328,105 and 469,189 is: 670,938.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,105 : 469,189 = 469,189 : x
  2. Step 2: Convert to fraction form
    328,105/469,189 = 469,189/x
  3. Step 3: Cross multiply
    328,105x = 469,189 × 469,189
  4. Step 4: Simplify right side
    328,105x = 220,138,317,721
  5. Step 5: Solve for x
    x = 220,138,317,721/328,105
  6. Step 6: Final answer
    x = 670,938.63

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.