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Finding the Third Proportional to 78,482 and 104,439

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Solution

The third proportional to 78,482 and 104,439 is: 138,980.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,482 : 104,439 = 104,439 : x
  2. Step 2: Convert to fraction form
    78,482/104,439 = 104,439/x
  3. Step 3: Cross multiply
    78,482x = 104,439 × 104,439
  4. Step 4: Simplify right side
    78,482x = 10,907,504,721
  5. Step 5: Solve for x
    x = 10,907,504,721/78,482
  6. Step 6: Final answer
    x = 138,980.97

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.