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Finding the Third Proportional to 178,878 and 397,122

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Solution

The third proportional to 178,878 and 397,122 is: 881,639.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,878 : 397,122 = 397,122 : x
  2. Step 2: Convert to fraction form
    178,878/397,122 = 397,122/x
  3. Step 3: Cross multiply
    178,878x = 397,122 × 397,122
  4. Step 4: Simplify right side
    178,878x = 157,705,882,884
  5. Step 5: Solve for x
    x = 157,705,882,884/178,878
  6. Step 6: Final answer
    x = 881,639.35

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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.