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Finding the Third Proportional to 204,077.81 and 421,255.13

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Solution

The third proportional to 204,077.81 and 421,255.13 is: 869,550.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,077.81 : 421,255.13 = 421,255.13 : x
  2. Step 2: Convert to fraction form
    204,077.81/421,255.13 = 421,255.13/x
  3. Step 3: Cross multiply
    204,077.81x = 421,255.13 × 421,255.13
  4. Step 4: Simplify right side
    204,077.81x = 177,455,880,338.77
  5. Step 5: Solve for x
    x = 177,455,880,338.77/204,077.81
  6. Step 6: Final answer
    x = 869,550.09

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.