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Finding the Third Proportional to 172.13 and 355.13

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Solution

The third proportional to 172.13 and 355.13 is: 732.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.13 : 355.13 = 355.13 : x
  2. Step 2: Convert to fraction form
    172.13/355.13 = 355.13/x
  3. Step 3: Cross multiply
    172.13x = 355.13 × 355.13
  4. Step 4: Simplify right side
    172.13x = 126,113.77
  5. Step 5: Solve for x
    x = 126,113.77/172.13
  6. Step 6: Final answer
    x = 732.69

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.