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Finding the Third Proportional to 178,247 and 396,344

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Solution

The third proportional to 178,247 and 396,344 is: 881,297.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,247 : 396,344 = 396,344 : x
  2. Step 2: Convert to fraction form
    178,247/396,344 = 396,344/x
  3. Step 3: Cross multiply
    178,247x = 396,344 × 396,344
  4. Step 4: Simplify right side
    178,247x = 157,088,566,336
  5. Step 5: Solve for x
    x = 157,088,566,336/178,247
  6. Step 6: Final answer
    x = 881,297.11

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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.