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Finding the Third Proportional to 139,979 and 303,286

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Solution

The third proportional to 139,979 and 303,286 is: 657,115.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,979 : 303,286 = 303,286 : x
  2. Step 2: Convert to fraction form
    139,979/303,286 = 303,286/x
  3. Step 3: Cross multiply
    139,979x = 303,286 × 303,286
  4. Step 4: Simplify right side
    139,979x = 91,982,397,796
  5. Step 5: Solve for x
    x = 91,982,397,796/139,979
  6. Step 6: Final answer
    x = 657,115.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.