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Finding the Third Proportional to 178,326 and 396,018

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Solution

The third proportional to 178,326 and 396,018 is: 879,458.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,326 : 396,018 = 396,018 : x
  2. Step 2: Convert to fraction form
    178,326/396,018 = 396,018/x
  3. Step 3: Cross multiply
    178,326x = 396,018 × 396,018
  4. Step 4: Simplify right side
    178,326x = 156,830,256,324
  5. Step 5: Solve for x
    x = 156,830,256,324/178,326
  6. Step 6: Final answer
    x = 879,458.16

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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.