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Finding the Third Proportional to 303,550.50 and 438,543

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Solution

The third proportional to 303,550.50 and 438,543 is: 633,568.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,550.50 : 438,543 = 438,543 : x
  2. Step 2: Convert to fraction form
    303,550.50/438,543 = 438,543/x
  3. Step 3: Cross multiply
    303,550.50x = 438,543 × 438,543
  4. Step 4: Simplify right side
    303,550.50x = 192,319,962,849
  5. Step 5: Solve for x
    x = 192,319,962,849/303,550.50
  6. Step 6: Final answer
    x = 633,568.26

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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.