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Finding the Third Proportional to 306,576 and 670,176

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Solution

The third proportional to 306,576 and 670,176 is: 1,465,006.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,576 : 670,176 = 670,176 : x
  2. Step 2: Convert to fraction form
    306,576/670,176 = 670,176/x
  3. Step 3: Cross multiply
    306,576x = 670,176 × 670,176
  4. Step 4: Simplify right side
    306,576x = 449,135,870,976
  5. Step 5: Solve for x
    x = 449,135,870,976/306,576
  6. Step 6: Final answer
    x = 1,465,006.62

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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.