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Finding the Third Proportional to 328,056.75 and 419,195.25

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Solution

The third proportional to 328,056.75 and 419,195.25 is: 535,653.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,056.75 : 419,195.25 = 419,195.25 : x
  2. Step 2: Convert to fraction form
    328,056.75/419,195.25 = 419,195.25/x
  3. Step 3: Cross multiply
    328,056.75x = 419,195.25 × 419,195.25
  4. Step 4: Simplify right side
    328,056.75x = 175,724,657,622.56
  5. Step 5: Solve for x
    x = 175,724,657,622.56/328,056.75
  6. Step 6: Final answer
    x = 535,653.23

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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.