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Finding the Third Proportional to 149,530 and 319,796

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Solution

The third proportional to 149,530 and 319,796 is: 683,939.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,530 : 319,796 = 319,796 : x
  2. Step 2: Convert to fraction form
    149,530/319,796 = 319,796/x
  3. Step 3: Cross multiply
    149,530x = 319,796 × 319,796
  4. Step 4: Simplify right side
    149,530x = 102,269,481,616
  5. Step 5: Solve for x
    x = 102,269,481,616/149,530
  6. Step 6: Final answer
    x = 683,939.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.