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Finding the Third Proportional to 139,508 and 305,098

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Solution

The third proportional to 139,508 and 305,098 is: 667,236.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,508 : 305,098 = 305,098 : x
  2. Step 2: Convert to fraction form
    139,508/305,098 = 305,098/x
  3. Step 3: Cross multiply
    139,508x = 305,098 × 305,098
  4. Step 4: Simplify right side
    139,508x = 93,084,789,604
  5. Step 5: Solve for x
    x = 93,084,789,604/139,508
  6. Step 6: Final answer
    x = 667,236.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.