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Finding the Third Proportional to 208 and 454.25

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Solution

The third proportional to 208 and 454.25 is: 992.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    208 : 454.25 = 454.25 : x
  2. Step 2: Convert to fraction form
    208/454.25 = 454.25/x
  3. Step 3: Cross multiply
    208x = 454.25 × 454.25
  4. Step 4: Simplify right side
    208x = 206,343.06
  5. Step 5: Solve for x
    x = 206,343.06/208
  6. Step 6: Final answer
    x = 992.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.