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Finding the Third Proportional to 219.23 and 484.03

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Solution

The third proportional to 219.23 and 484.03 is: 1,068.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.23 : 484.03 = 484.03 : x
  2. Step 2: Convert to fraction form
    219.23/484.03 = 484.03/x
  3. Step 3: Cross multiply
    219.23x = 484.03 × 484.03
  4. Step 4: Simplify right side
    219.23x = 234,286.25
  5. Step 5: Solve for x
    x = 234,286.25/219.23
  6. Step 6: Final answer
    x = 1,068.66

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.