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Finding the Third Proportional to 88,940 and 194,296

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Solution

The third proportional to 88,940 and 194,296 is: 424,453.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,940 : 194,296 = 194,296 : x
  2. Step 2: Convert to fraction form
    88,940/194,296 = 194,296/x
  3. Step 3: Cross multiply
    88,940x = 194,296 × 194,296
  4. Step 4: Simplify right side
    88,940x = 37,750,935,616
  5. Step 5: Solve for x
    x = 37,750,935,616/88,940
  6. Step 6: Final answer
    x = 424,453.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.