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Finding the Third Proportional to 308,812 and 669,171

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Solution

The third proportional to 308,812 and 669,171 is: 1,450,040.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,812 : 669,171 = 669,171 : x
  2. Step 2: Convert to fraction form
    308,812/669,171 = 669,171/x
  3. Step 3: Cross multiply
    308,812x = 669,171 × 669,171
  4. Step 4: Simplify right side
    308,812x = 447,789,827,241
  5. Step 5: Solve for x
    x = 447,789,827,241/308,812
  6. Step 6: Final answer
    x = 1,450,040.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.