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Finding the Third Proportional to 172.13 and 349.31

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Solution

The third proportional to 172.13 and 349.31 is: 708.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.13 : 349.31 = 349.31 : x
  2. Step 2: Convert to fraction form
    172.13/349.31 = 349.31/x
  3. Step 3: Cross multiply
    172.13x = 349.31 × 349.31
  4. Step 4: Simplify right side
    172.13x = 122,019.22
  5. Step 5: Solve for x
    x = 122,019.22/172.13
  6. Step 6: Final answer
    x = 708.90

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.