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Finding the Third Proportional to 178,252 and 396,354

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Solution

The third proportional to 178,252 and 396,354 is: 881,316.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,252 : 396,354 = 396,354 : x
  2. Step 2: Convert to fraction form
    178,252/396,354 = 396,354/x
  3. Step 3: Cross multiply
    178,252x = 396,354 × 396,354
  4. Step 4: Simplify right side
    178,252x = 157,096,493,316
  5. Step 5: Solve for x
    x = 157,096,493,316/178,252
  6. Step 6: Final answer
    x = 881,316.86

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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.