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Finding the Third Proportional to 83.19 and 172.19

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Solution

The third proportional to 83.19 and 172.19 is: 356.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.19 : 172.19 = 172.19 : x
  2. Step 2: Convert to fraction form
    83.19/172.19 = 172.19/x
  3. Step 3: Cross multiply
    83.19x = 172.19 × 172.19
  4. Step 4: Simplify right side
    83.19x = 29,648.54
  5. Step 5: Solve for x
    x = 29,648.54/83.19
  6. Step 6: Final answer
    x = 356.41

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.