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Finding the Third Proportional to 215.78 and 475.22

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Solution

The third proportional to 215.78 and 475.22 is: 1,046.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.78 : 475.22 = 475.22 : x
  2. Step 2: Convert to fraction form
    215.78/475.22 = 475.22/x
  3. Step 3: Cross multiply
    215.78x = 475.22 × 475.22
  4. Step 4: Simplify right side
    215.78x = 225,832.86
  5. Step 5: Solve for x
    x = 225,832.86/215.78
  6. Step 6: Final answer
    x = 1,046.58

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.