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Finding the Third Proportional to 206,427.94 and 418,401.56

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Solution

The third proportional to 206,427.94 and 418,401.56 is: 848,043.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,427.94 : 418,401.56 = 418,401.56 : x
  2. Step 2: Convert to fraction form
    206,427.94/418,401.56 = 418,401.56/x
  3. Step 3: Cross multiply
    206,427.94x = 418,401.56 × 418,401.56
  4. Step 4: Simplify right side
    206,427.94x = 175,059,867,502.44
  5. Step 5: Solve for x
    x = 175,059,867,502.44/206,427.94
  6. Step 6: Final answer
    x = 848,043.48

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.