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Finding the Third Proportional to 202.17 and 415.27

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Solution

The third proportional to 202.17 and 415.27 is: 852.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.17 : 415.27 = 415.27 : x
  2. Step 2: Convert to fraction form
    202.17/415.27 = 415.27/x
  3. Step 3: Cross multiply
    202.17x = 415.27 × 415.27
  4. Step 4: Simplify right side
    202.17x = 172,445.54
  5. Step 5: Solve for x
    x = 172,445.54/202.17
  6. Step 6: Final answer
    x = 852.97

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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.