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Finding the Third Proportional to 328,638 and 529,099

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Solution

The third proportional to 328,638 and 529,099 is: 851,836.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,638 : 529,099 = 529,099 : x
  2. Step 2: Convert to fraction form
    328,638/529,099 = 529,099/x
  3. Step 3: Cross multiply
    328,638x = 529,099 × 529,099
  4. Step 4: Simplify right side
    328,638x = 279,945,751,801
  5. Step 5: Solve for x
    x = 279,945,751,801/328,638
  6. Step 6: Final answer
    x = 851,836.22

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.