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Finding the Third Proportional to 178,445 and 396,256

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Solution

The third proportional to 178,445 and 396,256 is: 879,928.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,445 : 396,256 = 396,256 : x
  2. Step 2: Convert to fraction form
    178,445/396,256 = 396,256/x
  3. Step 3: Cross multiply
    178,445x = 396,256 × 396,256
  4. Step 4: Simplify right side
    178,445x = 157,018,817,536
  5. Step 5: Solve for x
    x = 157,018,817,536/178,445
  6. Step 6: Final answer
    x = 879,928.37

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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.