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Finding the Third Proportional to 204,048 and 437,578.50

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Solution

The third proportional to 204,048 and 437,578.50 is: 938,381.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,048 : 437,578.50 = 437,578.50 : x
  2. Step 2: Convert to fraction form
    204,048/437,578.50 = 437,578.50/x
  3. Step 3: Cross multiply
    204,048x = 437,578.50 × 437,578.50
  4. Step 4: Simplify right side
    204,048x = 191,474,943,662.25
  5. Step 5: Solve for x
    x = 191,474,943,662.25/204,048
  6. Step 6: Final answer
    x = 938,381.87

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.