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Finding the Third Proportional to 104.48 and 223.45

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Solution

The third proportional to 104.48 and 223.45 is: 477.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.48 : 223.45 = 223.45 : x
  2. Step 2: Convert to fraction form
    104.48/223.45 = 223.45/x
  3. Step 3: Cross multiply
    104.48x = 223.45 × 223.45
  4. Step 4: Simplify right side
    104.48x = 49,931.30
  5. Step 5: Solve for x
    x = 49,931.30/104.48
  6. Step 6: Final answer
    x = 477.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.