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Finding the Third Proportional to 92,245 and 199,025

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Solution

The third proportional to 92,245 and 199,025 is: 429,410.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,245 : 199,025 = 199,025 : x
  2. Step 2: Convert to fraction form
    92,245/199,025 = 199,025/x
  3. Step 3: Cross multiply
    92,245x = 199,025 × 199,025
  4. Step 4: Simplify right side
    92,245x = 39,610,950,625
  5. Step 5: Solve for x
    x = 39,610,950,625/92,245
  6. Step 6: Final answer
    x = 429,410.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.