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Finding the Third Proportional to 303,553 and 438,546

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Solution

The third proportional to 303,553 and 438,546 is: 633,571.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,553 : 438,546 = 438,546 : x
  2. Step 2: Convert to fraction form
    303,553/438,546 = 438,546/x
  3. Step 3: Cross multiply
    303,553x = 438,546 × 438,546
  4. Step 4: Simplify right side
    303,553x = 192,322,594,116
  5. Step 5: Solve for x
    x = 192,322,594,116/303,553
  6. Step 6: Final answer
    x = 633,571.71

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.