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Finding the Third Proportional to 206,246.25 and 280,999.13

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Solution

The third proportional to 206,246.25 and 280,999.13 is: 382,845.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,246.25 : 280,999.13 = 280,999.13 : x
  2. Step 2: Convert to fraction form
    206,246.25/280,999.13 = 280,999.13/x
  3. Step 3: Cross multiply
    206,246.25x = 280,999.13 × 280,999.13
  4. Step 4: Simplify right side
    206,246.25x = 78,960,508,250.77
  5. Step 5: Solve for x
    x = 78,960,508,250.77/206,246.25
  6. Step 6: Final answer
    x = 382,845.79

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.