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Finding the Third Proportional to 200.05 and 410.77

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Solution

The third proportional to 200.05 and 410.77 is: 843.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.05 : 410.77 = 410.77 : x
  2. Step 2: Convert to fraction form
    200.05/410.77 = 410.77/x
  3. Step 3: Cross multiply
    200.05x = 410.77 × 410.77
  4. Step 4: Simplify right side
    200.05x = 168,735.62
  5. Step 5: Solve for x
    x = 168,735.62/200.05
  6. Step 6: Final answer
    x = 843.48

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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.