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Finding the Third Proportional to 149,530 and 315,908

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Solution

The third proportional to 149,530 and 315,908 is: 667,410.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,530 : 315,908 = 315,908 : x
  2. Step 2: Convert to fraction form
    149,530/315,908 = 315,908/x
  3. Step 3: Cross multiply
    149,530x = 315,908 × 315,908
  4. Step 4: Simplify right side
    149,530x = 99,797,864,464
  5. Step 5: Solve for x
    x = 99,797,864,464/149,530
  6. Step 6: Final answer
    x = 667,410.32

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.