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Finding the Third Proportional to 173.07 and 252.81

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Solution

The third proportional to 173.07 and 252.81 is: 369.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.07 : 252.81 = 252.81 : x
  2. Step 2: Convert to fraction form
    173.07/252.81 = 252.81/x
  3. Step 3: Cross multiply
    173.07x = 252.81 × 252.81
  4. Step 4: Simplify right side
    173.07x = 63,912.19
  5. Step 5: Solve for x
    x = 63,912.19/173.07
  6. Step 6: Final answer
    x = 369.28

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.