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Finding the Third Proportional to 333,190.97 and 476,131.92

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Solution

The third proportional to 333,190.97 and 476,131.92 is: 680,395.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,190.97 : 476,131.92 = 476,131.92 : x
  2. Step 2: Convert to fraction form
    333,190.97/476,131.92 = 476,131.92/x
  3. Step 3: Cross multiply
    333,190.97x = 476,131.92 × 476,131.92
  4. Step 4: Simplify right side
    333,190.97x = 226,701,607,028.38
  5. Step 5: Solve for x
    x = 226,701,607,028.38/333,190.97
  6. Step 6: Final answer
    x = 680,395.41

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.