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Finding the Third Proportional to 205 and 480

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Solution

The third proportional to 205 and 480 is: 1,123.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    205 : 480 = 480 : x
  2. Step 2: Convert to fraction form
    205/480 = 480/x
  3. Step 3: Cross multiply
    205x = 480 × 480
  4. Step 4: Simplify right side
    205x = 230,400
  5. Step 5: Solve for x
    x = 230,400/205
  6. Step 6: Final answer
    x = 1,123.90

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.