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Finding the Third Proportional to 220.06 and 404.69

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Solution

The third proportional to 220.06 and 404.69 is: 744.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.06 : 404.69 = 404.69 : x
  2. Step 2: Convert to fraction form
    220.06/404.69 = 404.69/x
  3. Step 3: Cross multiply
    220.06x = 404.69 × 404.69
  4. Step 4: Simplify right side
    220.06x = 163,771.97
  5. Step 5: Solve for x
    x = 163,771.97/220.06
  6. Step 6: Final answer
    x = 744.21

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.