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Finding the Third Proportional to 205,896.94 and 421,827.75

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Solution

The third proportional to 205,896.94 and 421,827.75 is: 864,212.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,896.94 : 421,827.75 = 421,827.75 : x
  2. Step 2: Convert to fraction form
    205,896.94/421,827.75 = 421,827.75/x
  3. Step 3: Cross multiply
    205,896.94x = 421,827.75 × 421,827.75
  4. Step 4: Simplify right side
    205,896.94x = 177,938,650,670.06
  5. Step 5: Solve for x
    x = 177,938,650,670.06/205,896.94
  6. Step 6: Final answer
    x = 864,212.23

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.