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Finding the Third Proportional to 90,772 and 209,795

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Solution

The third proportional to 90,772 and 209,795 is: 484,884.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,772 : 209,795 = 209,795 : x
  2. Step 2: Convert to fraction form
    90,772/209,795 = 209,795/x
  3. Step 3: Cross multiply
    90,772x = 209,795 × 209,795
  4. Step 4: Simplify right side
    90,772x = 44,013,942,025
  5. Step 5: Solve for x
    x = 44,013,942,025/90,772
  6. Step 6: Final answer
    x = 484,884.57

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.