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Finding the Third Proportional to 178,441 and 396,247

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Solution

The third proportional to 178,441 and 396,247 is: 879,908.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,441 : 396,247 = 396,247 : x
  2. Step 2: Convert to fraction form
    178,441/396,247 = 396,247/x
  3. Step 3: Cross multiply
    178,441x = 396,247 × 396,247
  4. Step 4: Simplify right side
    178,441x = 157,011,685,009
  5. Step 5: Solve for x
    x = 157,011,685,009/178,441
  6. Step 6: Final answer
    x = 879,908.12

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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.