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Finding the Third Proportional to 83,638 and 178,724

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Solution

The third proportional to 83,638 and 178,724 is: 381,910.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,638 : 178,724 = 178,724 : x
  2. Step 2: Convert to fraction form
    83,638/178,724 = 178,724/x
  3. Step 3: Cross multiply
    83,638x = 178,724 × 178,724
  4. Step 4: Simplify right side
    83,638x = 31,942,268,176
  5. Step 5: Solve for x
    x = 31,942,268,176/83,638
  6. Step 6: Final answer
    x = 381,910.95

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.