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Finding the Third Proportional to 204,124.88 and 443,302.50

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Solution

The third proportional to 204,124.88 and 443,302.50 is: 962,729.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,124.88 : 443,302.50 = 443,302.50 : x
  2. Step 2: Convert to fraction form
    204,124.88/443,302.50 = 443,302.50/x
  3. Step 3: Cross multiply
    204,124.88x = 443,302.50 × 443,302.50
  4. Step 4: Simplify right side
    204,124.88x = 196,517,106,506.25
  5. Step 5: Solve for x
    x = 196,517,106,506.25/204,124.88
  6. Step 6: Final answer
    x = 962,729.83

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.