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Finding the Third Proportional to 328,109 and 469,195

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Solution

The third proportional to 328,109 and 469,195 is: 670,947.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,109 : 469,195 = 469,195 : x
  2. Step 2: Convert to fraction form
    328,109/469,195 = 469,195/x
  3. Step 3: Cross multiply
    328,109x = 469,195 × 469,195
  4. Step 4: Simplify right side
    328,109x = 220,143,948,025
  5. Step 5: Solve for x
    x = 220,143,948,025/328,109
  6. Step 6: Final answer
    x = 670,947.61

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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.