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Finding the Third Proportional to 85.64 and 203.16

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Solution

The third proportional to 85.64 and 203.16 is: 481.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.64 : 203.16 = 203.16 : x
  2. Step 2: Convert to fraction form
    85.64/203.16 = 203.16/x
  3. Step 3: Cross multiply
    85.64x = 203.16 × 203.16
  4. Step 4: Simplify right side
    85.64x = 41,273.10
  5. Step 5: Solve for x
    x = 41,273.10/85.64
  6. Step 6: Final answer
    x = 481.95

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.