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Finding the Third Proportional to 178,235 and 396,321

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Solution

The third proportional to 178,235 and 396,321 is: 881,254.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,235 : 396,321 = 396,321 : x
  2. Step 2: Convert to fraction form
    178,235/396,321 = 396,321/x
  3. Step 3: Cross multiply
    178,235x = 396,321 × 396,321
  4. Step 4: Simplify right side
    178,235x = 157,070,335,041
  5. Step 5: Solve for x
    x = 157,070,335,041/178,235
  6. Step 6: Final answer
    x = 881,254.16

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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.