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Finding the Third Proportional to 328,115 and 469,204

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Solution

The third proportional to 328,115 and 469,204 is: 670,961.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,115 : 469,204 = 469,204 : x
  2. Step 2: Convert to fraction form
    328,115/469,204 = 469,204/x
  3. Step 3: Cross multiply
    328,115x = 469,204 × 469,204
  4. Step 4: Simplify right side
    328,115x = 220,152,393,616
  5. Step 5: Solve for x
    x = 220,152,393,616/328,115
  6. Step 6: Final answer
    x = 670,961.08

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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.