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Finding the Third Proportional to 209,270.25 and 303,699.38

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Solution

The third proportional to 209,270.25 and 303,699.38 is: 440,737.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,270.25 : 303,699.38 = 303,699.38 : x
  2. Step 2: Convert to fraction form
    209,270.25/303,699.38 = 303,699.38/x
  3. Step 3: Cross multiply
    209,270.25x = 303,699.38 × 303,699.38
  4. Step 4: Simplify right side
    209,270.25x = 92,233,310,375.39
  5. Step 5: Solve for x
    x = 92,233,310,375.39/209,270.25
  6. Step 6: Final answer
    x = 440,737.80

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.