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Finding the Third Proportional to 172.13 and 363.09

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Solution

The third proportional to 172.13 and 363.09 is: 765.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.13 : 363.09 = 363.09 : x
  2. Step 2: Convert to fraction form
    172.13/363.09 = 363.09/x
  3. Step 3: Cross multiply
    172.13x = 363.09 × 363.09
  4. Step 4: Simplify right side
    172.13x = 131,837.07
  5. Step 5: Solve for x
    x = 131,837.07/172.13
  6. Step 6: Final answer
    x = 765.94

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.