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Finding the Third Proportional to 90,084 and 208,551

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Solution

The third proportional to 90,084 and 208,551 is: 482,810.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,084 : 208,551 = 208,551 : x
  2. Step 2: Convert to fraction form
    90,084/208,551 = 208,551/x
  3. Step 3: Cross multiply
    90,084x = 208,551 × 208,551
  4. Step 4: Simplify right side
    90,084x = 43,493,519,601
  5. Step 5: Solve for x
    x = 43,493,519,601/90,084
  6. Step 6: Final answer
    x = 482,810.71

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.