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Finding the Third Proportional to 223.17 and 483.89

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Solution

The third proportional to 223.17 and 483.89 is: 1,049.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.17 : 483.89 = 483.89 : x
  2. Step 2: Convert to fraction form
    223.17/483.89 = 483.89/x
  3. Step 3: Cross multiply
    223.17x = 483.89 × 483.89
  4. Step 4: Simplify right side
    223.17x = 234,150.14
  5. Step 5: Solve for x
    x = 234,150.14/223.17
  6. Step 6: Final answer
    x = 1,049.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.