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Finding the Third Proportional to 205.83 and 418.07

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Solution

The third proportional to 205.83 and 418.07 is: 849.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.83 : 418.07 = 418.07 : x
  2. Step 2: Convert to fraction form
    205.83/418.07 = 418.07/x
  3. Step 3: Cross multiply
    205.83x = 418.07 × 418.07
  4. Step 4: Simplify right side
    205.83x = 174,783.81
  5. Step 5: Solve for x
    x = 174,783.81/205.83
  6. Step 6: Final answer
    x = 849.16

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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.