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Finding the Third Proportional to 172.13 and 231.61

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Solution

The third proportional to 172.13 and 231.61 is: 311.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.13 : 231.61 = 231.61 : x
  2. Step 2: Convert to fraction form
    172.13/231.61 = 231.61/x
  3. Step 3: Cross multiply
    172.13x = 231.61 × 231.61
  4. Step 4: Simplify right side
    172.13x = 53,642.90
  5. Step 5: Solve for x
    x = 53,642.90/172.13
  6. Step 6: Final answer
    x = 311.65

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.