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Finding the Third Proportional to 205.03 and 472.08

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Solution

The third proportional to 205.03 and 472.08 is: 1,086.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.03 : 472.08 = 472.08 : x
  2. Step 2: Convert to fraction form
    205.03/472.08 = 472.08/x
  3. Step 3: Cross multiply
    205.03x = 472.08 × 472.08
  4. Step 4: Simplify right side
    205.03x = 222,857.76
  5. Step 5: Solve for x
    x = 222,857.76/205.03
  6. Step 6: Final answer
    x = 1,086.95

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.