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Finding the Third Proportional to 205.31 and 416.53

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Solution

The third proportional to 205.31 and 416.53 is: 845.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.31 : 416.53 = 416.53 : x
  2. Step 2: Convert to fraction form
    205.31/416.53 = 416.53/x
  3. Step 3: Cross multiply
    205.31x = 416.53 × 416.53
  4. Step 4: Simplify right side
    205.31x = 173,498.28
  5. Step 5: Solve for x
    x = 173,498.28/205.31
  6. Step 6: Final answer
    x = 845.04

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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.