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Finding the Third Proportional to 305,576 and 670,144

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Solution

The third proportional to 305,576 and 670,144 is: 1,469,660.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,576 : 670,144 = 670,144 : x
  2. Step 2: Convert to fraction form
    305,576/670,144 = 670,144/x
  3. Step 3: Cross multiply
    305,576x = 670,144 × 670,144
  4. Step 4: Simplify right side
    305,576x = 449,092,980,736
  5. Step 5: Solve for x
    x = 449,092,980,736/305,576
  6. Step 6: Final answer
    x = 1,469,660.51

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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.