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Finding the Third Proportional to 219.38 and 471.38

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Solution

The third proportional to 219.38 and 471.38 is: 1,012.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.38 : 471.38 = 471.38 : x
  2. Step 2: Convert to fraction form
    219.38/471.38 = 471.38/x
  3. Step 3: Cross multiply
    219.38x = 471.38 × 471.38
  4. Step 4: Simplify right side
    219.38x = 222,194.39
  5. Step 5: Solve for x
    x = 222,194.39/219.38
  6. Step 6: Final answer
    x = 1,012.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.