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Finding the Third Proportional to 38,518 and 82,844

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Solution

The third proportional to 38,518 and 82,844 is: 178,179.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,518 : 82,844 = 82,844 : x
  2. Step 2: Convert to fraction form
    38,518/82,844 = 82,844/x
  3. Step 3: Cross multiply
    38,518x = 82,844 × 82,844
  4. Step 4: Simplify right side
    38,518x = 6,863,128,336
  5. Step 5: Solve for x
    x = 6,863,128,336/38,518
  6. Step 6: Final answer
    x = 178,179.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.