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Finding the Third Proportional to 198,164 and 297,287

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Solution

The third proportional to 198,164 and 297,287 is: 445,992.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,164 : 297,287 = 297,287 : x
  2. Step 2: Convert to fraction form
    198,164/297,287 = 297,287/x
  3. Step 3: Cross multiply
    198,164x = 297,287 × 297,287
  4. Step 4: Simplify right side
    198,164x = 88,379,560,369
  5. Step 5: Solve for x
    x = 88,379,560,369/198,164
  6. Step 6: Final answer
    x = 445,992.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.