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Finding the Third Proportional to 328,111 and 469,198

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Solution

The third proportional to 328,111 and 469,198 is: 670,952.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,111 : 469,198 = 469,198 : x
  2. Step 2: Convert to fraction form
    328,111/469,198 = 469,198/x
  3. Step 3: Cross multiply
    328,111x = 469,198 × 469,198
  4. Step 4: Simplify right side
    328,111x = 220,146,763,204
  5. Step 5: Solve for x
    x = 220,146,763,204/328,111
  6. Step 6: Final answer
    x = 670,952.10

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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.