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Finding the Third Proportional to 172,224 and 378,396

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Solution

The third proportional to 172,224 and 378,396 is: 831,379.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,224 : 378,396 = 378,396 : x
  2. Step 2: Convert to fraction form
    172,224/378,396 = 378,396/x
  3. Step 3: Cross multiply
    172,224x = 378,396 × 378,396
  4. Step 4: Simplify right side
    172,224x = 143,183,532,816
  5. Step 5: Solve for x
    x = 143,183,532,816/172,224
  6. Step 6: Final answer
    x = 831,379.67

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.