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Finding the Third Proportional to 206,405.25 and 290,664

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Solution

The third proportional to 206,405.25 and 290,664 is: 409,318.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,405.25 : 290,664 = 290,664 : x
  2. Step 2: Convert to fraction form
    206,405.25/290,664 = 290,664/x
  3. Step 3: Cross multiply
    206,405.25x = 290,664 × 290,664
  4. Step 4: Simplify right side
    206,405.25x = 84,485,560,896
  5. Step 5: Solve for x
    x = 84,485,560,896/206,405.25
  6. Step 6: Final answer
    x = 409,318.86

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.