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Finding the Third Proportional to 338 and 472.25

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Solution

The third proportional to 338 and 472.25 is: 659.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    338 : 472.25 = 472.25 : x
  2. Step 2: Convert to fraction form
    338/472.25 = 472.25/x
  3. Step 3: Cross multiply
    338x = 472.25 × 472.25
  4. Step 4: Simplify right side
    338x = 223,020.06
  5. Step 5: Solve for x
    x = 223,020.06/338
  6. Step 6: Final answer
    x = 659.82

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.