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Finding the Third Proportional to 178,448 and 396,262

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Solution

The third proportional to 178,448 and 396,262 is: 879,940.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,448 : 396,262 = 396,262 : x
  2. Step 2: Convert to fraction form
    178,448/396,262 = 396,262/x
  3. Step 3: Cross multiply
    178,448x = 396,262 × 396,262
  4. Step 4: Simplify right side
    178,448x = 157,023,572,644
  5. Step 5: Solve for x
    x = 157,023,572,644/178,448
  6. Step 6: Final answer
    x = 879,940.22

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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.