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Finding the Third Proportional to 178,238 and 396,324

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Solution

The third proportional to 178,238 and 396,324 is: 881,252.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,238 : 396,324 = 396,324 : x
  2. Step 2: Convert to fraction form
    178,238/396,324 = 396,324/x
  3. Step 3: Cross multiply
    178,238x = 396,324 × 396,324
  4. Step 4: Simplify right side
    178,238x = 157,072,712,976
  5. Step 5: Solve for x
    x = 157,072,712,976/178,238
  6. Step 6: Final answer
    x = 881,252.67

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.