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Finding the Third Proportional to 328,091 and 469,172

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Solution

The third proportional to 328,091 and 469,172 is: 670,918.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,091 : 469,172 = 469,172 : x
  2. Step 2: Convert to fraction form
    328,091/469,172 = 469,172/x
  3. Step 3: Cross multiply
    328,091x = 469,172 × 469,172
  4. Step 4: Simplify right side
    328,091x = 220,122,365,584
  5. Step 5: Solve for x
    x = 220,122,365,584/328,091
  6. Step 6: Final answer
    x = 670,918.63

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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.