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Finding the Third Proportional to 380,234.25 and 531,623.25

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Solution

The third proportional to 380,234.25 and 531,623.25 is: 743,287.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,234.25 : 531,623.25 = 531,623.25 : x
  2. Step 2: Convert to fraction form
    380,234.25/531,623.25 = 531,623.25/x
  3. Step 3: Cross multiply
    380,234.25x = 531,623.25 × 531,623.25
  4. Step 4: Simplify right side
    380,234.25x = 282,623,279,940.56
  5. Step 5: Solve for x
    x = 282,623,279,940.56/380,234.25
  6. Step 6: Final answer
    x = 743,287.28

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.