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Finding the Third Proportional to 178,236 and 396,319

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Solution

The third proportional to 178,236 and 396,319 is: 881,240.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,236 : 396,319 = 396,319 : x
  2. Step 2: Convert to fraction form
    178,236/396,319 = 396,319/x
  3. Step 3: Cross multiply
    178,236x = 396,319 × 396,319
  4. Step 4: Simplify right side
    178,236x = 157,068,749,761
  5. Step 5: Solve for x
    x = 157,068,749,761/178,236
  6. Step 6: Final answer
    x = 881,240.32

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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.