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Finding the Third Proportional to 205.90 and 323.60

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Solution

The third proportional to 205.90 and 323.60 is: 508.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.90 : 323.60 = 323.60 : x
  2. Step 2: Convert to fraction form
    205.90/323.60 = 323.60/x
  3. Step 3: Cross multiply
    205.90x = 323.60 × 323.60
  4. Step 4: Simplify right side
    205.90x = 104,719.87
  5. Step 5: Solve for x
    x = 104,719.87/205.90
  6. Step 6: Final answer
    x = 508.59

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.