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Finding the Third Proportional to 178,234.25 and 396,316

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Solution

The third proportional to 178,234.25 and 396,316 is: 881,235.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,234.25 : 396,316 = 396,316 : x
  2. Step 2: Convert to fraction form
    178,234.25/396,316 = 396,316/x
  3. Step 3: Cross multiply
    178,234.25x = 396,316 × 396,316
  4. Step 4: Simplify right side
    178,234.25x = 157,066,371,856
  5. Step 5: Solve for x
    x = 157,066,371,856/178,234.25
  6. Step 6: Final answer
    x = 881,235.63

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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.