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Finding the Third Proportional to 328,050 and 419,175

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Solution

The third proportional to 328,050 and 419,175 is: 535,612.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,050 : 419,175 = 419,175 : x
  2. Step 2: Convert to fraction form
    328,050/419,175 = 419,175/x
  3. Step 3: Cross multiply
    328,050x = 419,175 × 419,175
  4. Step 4: Simplify right side
    328,050x = 175,707,680,625
  5. Step 5: Solve for x
    x = 175,707,680,625/328,050
  6. Step 6: Final answer
    x = 535,612.50

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.