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Finding the Third Proportional to 172.06 and 263.22

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Solution

The third proportional to 172.06 and 263.22 is: 402.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.06 : 263.22 = 263.22 : x
  2. Step 2: Convert to fraction form
    172.06/263.22 = 263.22/x
  3. Step 3: Cross multiply
    172.06x = 263.22 × 263.22
  4. Step 4: Simplify right side
    172.06x = 69,284.11
  5. Step 5: Solve for x
    x = 69,284.11/172.06
  6. Step 6: Final answer
    x = 402.67

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.