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Finding the Third Proportional to 219.94 and 472.31

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Solution

The third proportional to 219.94 and 472.31 is: 1,014.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.94 : 472.31 = 472.31 : x
  2. Step 2: Convert to fraction form
    219.94/472.31 = 472.31/x
  3. Step 3: Cross multiply
    219.94x = 472.31 × 472.31
  4. Step 4: Simplify right side
    219.94x = 223,079.10
  5. Step 5: Solve for x
    x = 223,079.10/219.94
  6. Step 6: Final answer
    x = 1,014.28

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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.