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Finding the Third Proportional to 139,239 and 295,974

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Solution

The third proportional to 139,239 and 295,974 is: 629,138.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,239 : 295,974 = 295,974 : x
  2. Step 2: Convert to fraction form
    139,239/295,974 = 295,974/x
  3. Step 3: Cross multiply
    139,239x = 295,974 × 295,974
  4. Step 4: Simplify right side
    139,239x = 87,600,608,676
  5. Step 5: Solve for x
    x = 87,600,608,676/139,239
  6. Step 6: Final answer
    x = 629,138.45

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.