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Finding the Third Proportional to 41,620 and 91,025

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Solution

The third proportional to 41,620 and 91,025 is: 199,076.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,620 : 91,025 = 91,025 : x
  2. Step 2: Convert to fraction form
    41,620/91,025 = 91,025/x
  3. Step 3: Cross multiply
    41,620x = 91,025 × 91,025
  4. Step 4: Simplify right side
    41,620x = 8,285,550,625
  5. Step 5: Solve for x
    x = 8,285,550,625/41,620
  6. Step 6: Final answer
    x = 199,076.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.